Gun, Sanoli ; Murty, V. Kumar (2019) Lifting of Elliptic curves Pacific Journal of Mathematics, 301 (1). pp. 101-106. ISSN 0030-8730
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Official URL: http://doi.org/10.2140/pjm.2019.301.101
Related URL: http://dx.doi.org/10.2140/pjm.2019.301.101
Abstract
Suppose that for all but finitely many primes p we are given an elliptic curve Ep defined over a finite field Fp of p elements. We derive a criterion for there to exist an elliptic curve E defined over Q for which the reduction of E modulo p is isogenous to Ep for almost all p.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Pacific Journal of Mathematics. |
| Keywords: | Lifting Of Elliptic Curves; Chebotarev Density Theorem; Generalized Riemann Hypothesis; ℓ -adic Representations Attached To Elliptic Curves. |
| ID Code: | 118036 |
| Deposited On: | 11 May 2021 11:52 |
| Last Modified: | 11 May 2021 11:52 |
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