Opened 11 years ago

Last modified 3 years ago

#9467 new enhancement

p-adic L-series associated to modular Jacobians

Reported by: jen Owned by: was
Priority: major Milestone: sage-6.4
Component: number theory Keywords: lseries
Cc: Merged in:
Authors: Reviewers:
Report Upstream: N/A Work issues:
Branch: public/ticket/9467 (Commits, GitHub, GitLab) Commit: 25b22559aea89c9179c50bc67ae4b8ff58d7c639
Dependencies: Stopgaps:

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Description

This is a first attempt at merging the code William and I wrote during Sage Days 22 to compute p-adic L-series associated to modular Jacobians.

Below is an example of a p-adic L-series associated to the rank 2 Jacobian of a curve (level N = 188) in "Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves" (Flynn, Leprevost, Schaefer, Stein, Stoll, Wetherell).

I realize the naming isn't quite right (this is the L-series of a curve whose Jacobian is a certain quotient of J_0(N) ...), but here's the main function:

sage: J = J0(188)
sage: L = J.padic_lseries(7)
sage: f = L.series(5)

Attachments (2)

14329.patch (8.5 KB) - added by jen 11 years ago.
14330.patch (27.5 KB) - added by jen 11 years ago.

Download all attachments as: .zip

Change History (13)

Changed 11 years ago by jen

Changed 11 years ago by jen

comment:1 Changed 8 years ago by jdemeyer

  • Milestone changed from sage-5.11 to sage-5.12

comment:2 Changed 8 years ago by vbraun_spam

  • Milestone changed from sage-6.1 to sage-6.2

comment:3 Changed 8 years ago by vbraun_spam

  • Milestone changed from sage-6.2 to sage-6.3

comment:4 Changed 7 years ago by vbraun_spam

  • Milestone changed from sage-6.3 to sage-6.4

comment:5 Changed 3 years ago by chapoton

  • Branch set to public/ticket/9467
  • Commit set to a88ee4cc53b3d47648ff8d4f90feadc33b1f7506

New commits:

a88ee4crefreshed files on padics L-functions for Abelian varieties

comment:6 Changed 3 years ago by git

  • Commit changed from a88ee4cc53b3d47648ff8d4f90feadc33b1f7506 to e7ecde3dea5d39f73b905fad1a285f3d10d96c73

Branch pushed to git repo; I updated commit sha1. New commits:

e7ecde3fix some imports

comment:7 Changed 3 years ago by chapoton

  • Keywords lseries added

comment:8 Changed 3 years ago by chapoton

  • Keywords L-series added; lseries removed

comment:9 Changed 3 years ago by chapoton

  • Summary changed from p-adic l-series associated to modular Jacobians to p-adic L-series associated to modular Jacobians

comment:10 Changed 3 years ago by git

  • Commit changed from e7ecde3dea5d39f73b905fad1a285f3d10d96c73 to 25b22559aea89c9179c50bc67ae4b8ff58d7c639

Branch pushed to git repo; I updated commit sha1. New commits:

85620d4Merge branch 'public/ticket/9467' in 8.5.b5
25b2255trac 9467 some details

comment:11 Changed 3 years ago by chapoton

  • Keywords lseries added; L-series removed
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