Surjectivity of mod 2^n representations of elliptic curves

Details Surjectivity of mod 2^n representations of elliptic curves Surjectivity of mod 2^n representations of elliptic curves

2011-04-26

arxiv.org/abs/1104.5031v1

Mathematics

Number Theory

3 pages

Scientific paper

For an elliptic curve E over Q, the Galois action on the l-power torsion points defines representations whose images are subgroups of GL_2(Z/l^n Z). There are three exceptional prime powers l^n=2,3,4 when surjectivity of the mod l^n representation does not imply that for l^(n+1). Elliptic curves with surjective mod 3 but not mod 9 representation have been classified by Elkies. The purpose of this note is to do this in the other two cases.

Affiliated with

Also associated with

No associations

Rating

Surjectivity of mod 2^n representations of elliptic curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Surjectivity of mod 2^n representations of elliptic curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surjectivity of mod 2^n representations of elliptic curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474435