Fricke involution
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. WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, …
Fricke involution
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Web4N is the Fricke involution 0 1=(2 p N) 2 p N 0 : We shall also adopt the notation that we may write Min the form M= a M b M c M d M :Further, the arguments of complex … 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 .
WebSep 10, 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their … WebAug 15, 2013 · Eigenvalue of Fricke involution on newforms of level 4 and of trivial character. Yichao Zhang. In this note, we consider the newforms of integral weight, level …
Web4 is the Fricke involution. We note that even if f is a Hecke eigenform, in general L(f,s) has no Euler product. Though L(f,s) has turned out to be useful in the investigation of sign … http://arxiv-export3.library.cornell.edu/pdf/0709.0132
WebIn mathematics, a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution also acts on other …
Webtions. Combined with the theory of modular forms, in particular the Fricke involution W k;M, asymptotic formulae, Eisenstein series, and Shimura’s correspondence, the classi cation in Theorems 1.1 and 1.2 reduces to a case by case analysis. In this analysis, we make great use of the simple observation that if a>b, then (1+qa)(1+qb) = 1+qb+O ... hydraulic lift tables harbor freightWebX0(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 massage therapist windham maineWebFricke is a surname. Notable people with the surname include: Aaron Fricke (born 1961), American gay rights activist; Anna Fricke, American television writer and producer; Ben … hydraulic lift truck bed covers