Websage: J = H. jacobian (); ... J Set of rational points of Jacobian of Hyperelliptic Curve over Finite Field of size 37 defined by y^2 = x^5 + 12*x^4 + 13*x^3 + 15*x^2 + 33*x. Points on … WebApr 21, 2024 · Generalization of torsion points on Jacobian of genus 2 over finite fields (with respect to the theta divisor) Ask Question Asked 1 year, 9 months ago. ... Like "Theta n …

LARGE TORSION SUBGROUPS OF SPLIT JACOBIANS OF CURVES …

WebDec 1, 2016 · Let Γ be a set of s = 2 n distinct points in general position in P n with n ≥ 4. Let J ⊂ R = k [x 0, …, x n] be the defining ideal of Γ and let I = (J, I n (Θ)) stand for the Jacobian ideal of J. Then I n (Θ) = m n. In particular, the pair J ⊂ I is Aluffi torsion-free. Note that by Example 3.2 the above conjecture is not valid for ... Webpoints is 1) on the Edwards curve and on the Weierstrass form in Jacobian coordinates. We briefly remind the reader that a point (X,Y,Z) in Jacobian coordinates corresponds to the affine point (x,y) with x= X/Z2 and y= Y/Z3. We denote by M the cost of a field multiplication and by S the cost of a field squaring. landmarks in florida famous

Torsion Points on Hyperelliptic Jacobians via Anderson

WebAdditional information. The conductor 169 169 of the Jacobian of X_1 (13) X 1(13) is the smallest known to arise for a simple abelian surface (and for any rational L L -function of motivic weight 1 1 and degree 4 4 that is not the product of two rational L L -functions of lower degree). Mazur and Tate ( Invent. Webtorsion points of J is as large as possible. Theorem 1.1. With J/Qas above, we have ρJ(GQ) = GSp6(bZ). Remark 1.2. Let A/Qbe a principally polarized abelian variety of dimension g ≥1. In Proposi-tion 2.5, we will show that if g ≤2 or if A is the Jacobian of a hyperelliptic curve, then ρA is not surjective. WebFor example, the rational points on a certain elliptic surface over P1 of positive rank parameterize a family of genus-2 curves over Q whose Jacobians each have 128 rational … hemangioma of liver ct