Computational archive

Mathematical Data

Static tables, bulk downloads, software snapshots, and historical computations assembled over several decades.

65collections classified

36usable static datasets

2.8 GBpreserved locally

The archive is static. Query forms and server programs have been retired; maintained searchable data should generally be sought in the LMFDB.

Classification

What each status means

Static data: Files can be read or downloaded directly.
Download archive: Primarily scans, source, packages, or compressed bundles.
Historical record: Preserved for context, citation, or research history.
Retired software: The original interactive runtime no longer operates.

Collection catalog

Showing all 65 collections

Search collectionsStatusArea

Historical record389Computations and working files surrounding level 389, visibility, and Weierstrass points./Tables/389/Research archive1.4 MB

Usable static dataEigenformsEigenvalues of modular forms at high level and high weight, stored as large static tables./Tables/Eigenforms/Modular forms267 MB

Historical recordSelected notes and talksA large collection of lecture notes, slides, source files, and mathematical talks./Tables/Notes/Research archive88 MB

Usable static dataABC conjecture tablesAn early ABC-conjecture table with TeX source and a packaged HTML copy./Tables/abc/Arithmetic geometry380 KB

Usable static dataElliptic-curve isogeny matricesIsogeny-class matrices for elliptic curves of conductor at most 40,000./Tables/allisog/Elliptic curves19 MB

Downloadable archiveAntwerp IVScanned and extended copies of the classical Modular Functions of One Variable IV tables./Tables/antwerp/Modular forms72 MB

Usable static dataArithmetic of weight 2 newformsArithmetic data for weight 2 newforms on Gamma0(N), including many levels through 7248./Tables/arith_of_factors/Modular forms356 MB

Usable static dataArtin representation computationsMagma inputs, operator data, and outputs from explicit Artin-representation computations./Tables/artin/Arithmetic geometry860 KB

Historical recordBSD special-value tableAn early generated table of Birch and Swinnerton-Dyer special values and its source artifacts./Tables/bsdtable/Elliptic curves1.6 MB

Usable static dataLevel 1 characteristic polynomialsCharacteristic polynomials of Hecke operators at level 1; static bulk data remains available./Tables/charpoly_level1/Modular forms430 MB

Usable static dataReal component groupsOrders of real component groups of J0(N), with tables and Magma source./Tables/compgrp/Arithmetic geometry36 KB

Usable static dataCremona elliptic-curve dataJohn Cremona's compressed elliptic-curve tables, including rank, isogeny, and Sha data./Tables/cremona/Elliptic curves93 MB

Downloadable archiveElliptic curves over imaginary quadratic fieldsCremona's equations, primes, and supporting scripts, packaged as a data archive./Tables/cremona_imagquad/Elliptic curves648 KB

Usable static dataCuspidal subgroup of J0(N)Tables and Magma/Python source for computations of rational cuspidal subgroups./Tables/cuspgroup/Arithmetic geometry96 KB

Usable static dataCongruence modulus and modular degreeComparison data for the congruence number and modular degree of elliptic curves./Tables/degphi_table/Elliptic curves104 KB

Historical recordDiscriminants of Hecke algebrasNotes, source, and computed discriminant data for Hecke algebras./Tables/discriminants/Modular forms292 KB

Downloadable archiveComputeLA preserved 2004 copy of Tim Dokchitser's PARI package for motivic L-functions./Tables/dokchitser_computel/Software368 KB

Usable static dataElliptic curves over number fieldsJennifer Sinnott's equations and isogeny tables over quadratic and other number fields./Tables/e_over_k/Elliptic curves69 MB

Usable static dataGamma1(N) eigenformsCompressed Magma-readable q-expansions of eigenforms on Gamma1(N)./Tables/eigeng1/Modular forms9.6 MB

Historical recordElliptic curves in natureAn experimental mathematical exhibit linking notable equations to elliptic curves; calculators are retired./Tables/elliptic_curves_in_nature/Elliptic curves7.7 MB

Usable static dataFischman characteristic polynomialsCompressed characteristic-polynomial tables for quadratic-character spaces./Tables/fischman/Modular forms14 MB

Broken interactive softwareFundamental domain drawerA Java-era interactive fundamental-domain program; source and packaged binaries remain for study./Tables/fundomain/Software852 KB

Downloadable archiveGenus 2 reductionQing Liu's genus 2 reduction program, documentation, source, and historical binaries./Tables/genus2reduction/Software2.9 MB

Historical recordGreek letter image setA collection of tiny GIF glyphs once used to typeset mathematics in early web pages./Tables/greek/Research archive744 KB

Historical recordMagma modular-forms FAQA short preserved support note for the old Magma HECKE package./Tables/hecke-magma-faq/Software4 KB

Historical recordHECKE tutorialTeX, DVI, PostScript, and PDF documentation for the historical HECKE program./Tables/hecke-tutorial/Software372 KB

Historical recordHigh-weight modular formsResearch files and computations concerning modular forms of high weight./Tables/highweight/Research archive8.6 MB

Usable static dataHilbert modular forms over Q(sqrt(5))Dimensions, Hecke characteristic polynomials, and elliptic-curve ap-lists over Q(sqrt(5))./Tables/hmf/Modular forms40 MB

Usable static dataInvariants of J0(N)Large raw and compressed outputs computing arithmetic invariants of modular Jacobians./Tables/j0n_invariants/Arithmetic geometry867 MB

Usable static dataElliptic-curve L-ratiosValues of L(E,1)/Omega_E for elliptic curves of conductor at most 40,000./Tables/lratio/Elliptic curves12 MB

Downloadable archiveMagma modular-forms packageA preserved distribution, documentation, and examples for the old Magma modular-forms code./Tables/magma/Software2 MB

Downloadable archiveMagma package sourceSource for modular symbols, modular forms, supersingular points, and modular abelian varieties./Tables/magma_src/Software1.7 MB

Usable static dataMerel supersingular computationsPARI/GP programs and tables for supersingular and small-prime-order computations./Tables/merel/Elliptic curves388 KB

Usable static dataMeyer modular-form dataWeight 2, 4, and 6 modular-form datasets supplied as plain data files./Tables/meyer/Modular forms1.1 MB

Usable static dataModular abelian varieties that are JacobiansCurve equations and supporting computations for modular abelian varieties realized as Jacobians./Tables/modjac/Arithmetic geometry1.1 MB

Historical recordElliptic curves in nature, early editionThe earlier two-page edition of the Elliptic Curves in Nature experiment./Tables/nature/Elliptic curves52 KB

Usable static dataNM600-700 dataA standalone numerical dataset retained under its original archival path./Tables/new/Modular forms56 KB

Usable static dataOptimal elliptic curvesPARI-readable tables and notes concerning optimal curves through conductor 5300./Tables/optimalcurves/Elliptic curves4.6 MB

Historical recordOrdinary modular formsA generated mathematical note, source, and images concerning ordinary forms./Tables/ordinary/Modular forms140 KB

Downloadable archivePARI elliptic-curve tablesA PARI-readable packaged conversion of Cremona's elliptic-curve data./Tables/pari-elldata/Elliptic curves2.3 MB

Historical recordParity structuresA generated paper and its source artifacts on parity structures and Boolean rings./Tables/parity/Research archive592 KB

Downloadable archivePeter Green's Heegner-point packageA local mirror of an early Heegner-point software package and its source archive./Tables/peter_green/Software1.2 MB

Usable static dataPrime-level visibility of ShaPrime-level visibility computations, source, and a surviving generated table./Tables/primevis/Arithmetic geometry324 KB

Usable static dataReal Tamagawa dataComponent groups of J0(N)(R) and J1(N)(R) in two plain static tables./Tables/real_tamagawa/Arithmetic geometry16 KB

Usable static dataRubinstein phi dataCompressed phi datasets indexed by prime, preserved as bulk computation outputs./Tables/rubinstein/Modular forms138 MB

Historical recordSerre's conjecture modulo pqNotes and exploratory computations concerning Serre's conjecture modulo composite primes./Tables/serremodpq/Arithmetic geometry396 KB

Historical recordSerre modulo pq, generated editionA second generated edition with TeX sources and image assets./Tables/serremodpq2/Arithmetic geometry632 KB

Usable static dataImages of Galois representationsSurjectivity data for elliptic-curve Galois representations through conductor 30,000./Tables/surj/Elliptic curves11 MB

Historical recordThesis source archiveSource files, figures, bibliography, and packaged material for the Berkeley Ph.D. thesis./Tables/thesis/Research archive1.9 MB

Usable static dataWeierstrass points on X0(N)+Static computations determining when infinity is a Weierstrass point on X0(p)+./Tables/weierstrass_point_plus/Arithmetic geometry24 KB

Usable static dataHecke eigenvalues and q-expansionsPARI-readable q-expansions of eigenforms on Gamma0(N), including high-precision weight 2 batches./Tables/an.html/Modular forms194 MB

Usable static dataCharacteristic polynomials by level and weightCharacteristic-polynomial tables for Hecke operators on Gamma0(N) and Gamma1(N)./Tables/charpoly.html/Modular forms28 MB

Usable static dataDimensions for Gamma0(N)PARI-readable dimension tables and source formulas for spaces of cusp forms on Gamma0(N)./Tables/dimensions.html/Modular forms204 KB

Usable static dataDimensions for Gamma1(N) with characterA large static Magma-readable dimension table for Gamma1(N), organized by character./Tables/dimensions-all.html/Modular forms674 KB

Usable static dataBSD special values for modular abelian varietiesRational parts of L(Af,1) for modular abelian varieties, with underlying PARI data./Tables/bsd.html/Arithmetic geometry444 KB

Usable static dataLevel 1 central critical valuesCentral critical values for level 1 modular forms of weight at most 200./Tables/level1_central_values/Modular forms17 KB

Historical recordp-adic slopesA historical index to 2-adic and 3-adic slopes of characteristic polynomials at small level./Tables/gm-slopes.html/Modular formsRoot files

Usable static dataSupersingular eigenformsEigenforms on Gamma0(p) expressed using the free abelian group on supersingular j-invariants./Tables/ss_p11-997.gp/Modular forms3 MB

Usable static dataDetailed motive decompositionsDetailed arithmetic decomposition data for J0(N), extending from small levels through N=200./Tables/MotiveDecomp_N1-200_k2/Arithmetic geometry1.2 MB

Usable static dataModular degree and congruence modulusA plain static comparison table for levels through 500, with a small set of recorded omissions./Tables/moddegcongmod-table.1-500/Arithmetic geometry44 KB

Usable static dataOptimal quotients with exceptional torsionOptimal quotients whose rational torsion is not generated by the divisor (0)-(infinity)./Tables/non_zeroinf_tor.txt/Arithmetic geometry11 KB

Downloadable archiveHECKE modular-forms calculatorDocumentation and downloads for the original standalone HECKE calculator, retained without a supported runtime./Tables/hecke.html/Software26 MB

Downloadable archivePARI/GP Hecke calculatorA compact, slow, and historically useful PARI/GP implementation of Hecke operators./Tables/heckegp.html/SoftwareSource

Downloadable archivePlane model calculatorArchived PARI source and a package for computing plane models in the old modular-forms workflow./Tables/model.html/Software1.5 MB

Broken interactive softwareOdd intersection graph queryA former CGI query for odd intersection graphs; no static result set survives at this route./Tables/odd_intersection_graph_gamma0.html/SoftwareRetired