Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space

Details Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space

2012-02-23

arxiv.org/abs/1202.5265v1

Mathematics

Number Theory

Scientific paper

We put together some known theoretical results and the fact that certain
computations can be done efficiently in SAGE to come up with a fast algorithm
for calculating congruence primes linking a newform with integer coefficients
(i.e. a newform associated to an elliptic curve) with the old space at the same
level.

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