Group III Final Presentation

Agenda

1. Congruences of newforms with newforms arising from elliptic curves

2. (Ir)reducibility testing and Serre levels

3. S_4 number fields arising from elliptic curves

4. Period lattices

computing splitting field of modular mod p reps

5. Elliptic curves whose Galois representations are surjective mod 4 (resp. 8) but not mod 2 (resp. 4)

s4fieldellipticcurve.csv

compileddata.csv

freakshow.csv

newfndata.csv

exceptionalfields.csv

serre.pdf

BenPresentation.sws

http://wiki.sagemath.org/GaganSekhon.