Rankin–Selberg L-functions and the reduction of CM elliptic curves

Rankin-selberg L–functions and the Reduction of Cm Elliptic Curves

Let q be a prime and K = Q( √ −D) be an imaginary quadratic field such that q is inert in K. If q is a prime above q in the Hilbert class field of K, there is a reduction map rq : E``(OK) −→ E``(Fq2) from the set of elliptic curves over Q with complex multiplication by the ring of integers OK to the set of supersingular elliptic curves over Fq2 . We prove a uniform asymptotic formula for the nu...

Iwasawa L-Functions of Elliptic Curves with Additive Reduction

9] Perrin-Riou, B.: Descente innnie et hauteur p-adique sur les courbes elliptiques a multiplication complexe.

Reduction of CM Elliptic Curves and Modular Function Congruences

CHOW-HEEGNER POINTS ON CM ELLIPTIC CURVES AND VALUES OF p-ADIC L-FUNCTIONS

Introduction 1 1. Basic notions 6 1.1. Motives for rational and homological equivalence 6 1.2. Algebraic Hecke characters 7 1.3. The motive of a Hecke character 8 1.4. Deligne-Scholl motives 9 1.5. Modular parametrisations attached to CM forms 10 1.6. Generalised Heegner cycles and Chow-Heegner points 13 1.7. A special case 15 2. Chow-Heegner points over Cp 15 2.1. The p-adic Abel-Jacobi map 15...

Products of CM elliptic curves