Genus 2 curve search results

Results (unique match)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
676.b.17576.1	676.b	\( 2^{2} \cdot 13^{2} \)	\( - 2^{3} \cdot 13^{3} \)	$0$	$0$	$\Z/3\Z\oplus\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathrm{M}_2(\Q)\)		$E_1$				$D_6$	$D_6$	$0$	$0$	2.120.4, 3.17280.1		✓	$1$	\( 3 \)	\(1.000000\)	\(7.177121\)	\(0.265819\)	$[1244,1249,129167,2249728]$	$[311,3978,72332,1667692,17576]$	$[2909390022551/17576,4602275343/676,10349147/26]$	$y^2 + (x^2 + x)y = -x^6 + 3x^5 - 6x^4 + 6x^3 - 6x^2 + 3x - 1$