Modular Curves Of Genus 2

Details Modular Curves Of Genus 2 Modular Curves Of Genus 2

2001-05-28

arxiv.org/abs/math/0105232v1

Math. Comp. 72, no. 241, 397-418, (2003)

Mathematics

Number Theory

Scientific paper

10.1090/S0025-5718-02-01458-8

We prove that there is only a finite number of genus 2 curves C defined over Q such that there exists a nonconstant morphism pi:X_1(N) --->C defined over Q and the jacobian of C, J(C), is a Q-factor of the new part of the jacobian of X_1(N), J_1(N)^{new}. Moreover, we prove that there are only 149 genus two curves of this kind with the additional requeriment that their jacobians are Q-simple. We determine the corresponding newforms and present equations for all these curves.

Affiliated with

Also associated with

No associations

Rating

Modular Curves Of Genus 2 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 Modular Curves Of Genus 2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular Curves Of Genus 2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313588