Abstract
Given a non-CM elliptic curve E over Q of discriminant ∆E , define the “torsion conductor” mE to be the smallest positive integer so that the Galois representation on the torsion of E has image π−1(Gal(Q(E[mE ])/Q)), where π denotes the natural projection GL2(Ẑ) → GL2(Z/mEZ). We show that, uniformly for semi-stable non-CM elliptic curves E over Q, one has
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
