WebApr 1, 2016 · For this, we first recall the action of the Fricke involution, given by (2.5) g k W N (τ): = (− i N τ) − k g (− 1 N τ). It is well-known that g k W N ∈ S k (M, χ (N ⋅)) (see Section 3 of [9]). We now consider the completed L-function Λ … WebThe modular curve X 0 + (p) = X 0 (p) / w p, where w p is the Fricke involution of X 0 (p), has genus zero. Every supersingular elliptic curve in characteristic p can be defined over the prime subfield F p. The order of the Monster group is divisible by p. The equivalence is due to Andrew Ogg.
Supersingular Prime -- from Wolfram MathWorld
Webthe corresponding Fricke involution) are Hecke eigenforms. In this list all cusps forms turn out to be newforms. These forms are interesting, among other things, because of their … WebIn Section 4 we will see that our assumptions on the Fricke involution and the Hecke operators lead to condition (2.2) with °1 2 ¡0(13) and °2 in some other discrete group. We also obtain higher order conditions (2.3) where each °j comes from a difierent group. This suggests the following question: Question 2.2. buffalo jack\u0027s covington
AND OF TRIVIAL CHARACTER arXiv:1308.3417v1 [math.NT] 15 …
WebThere are two definitions of the supersingular primes: one group-theoretic, and the other number-theoretic. Group-theoretically, let be the modular group Gamma0, and let be the compactification (by adding cusps) of , where is the upper half-plane . Also define to be the Fricke involution defined by the block matrix . For a prime, define . WebGalois representations attached to Q-curves and the generalized Fermat equation A4 +B2 = Cp Jordan S. Ellenberg ∗ Princeton University [email protected] WebX0(N)/wN and wN is the Fricke involution. Under this morphism the traces of the Heegner points of X+ 0 (N) map to rational points on E. In this paper we study the index I of the subgroup generated by all these traces on E(Q). We propose and also discuss a conjecture that says that if N is prime and I > 1, then either buffalo jack\u0027s hemet ca