Genus 2 curves in isogeny class 46656.c of discriminant 93312

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
46656.c.93312.1	46656.c	\( 2^{6} \cdot 3^{6} \)	\( 2^{7} \cdot 3^{6} \)	$1$	$1$	$\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_6)$		✓		$C_2$	$D_6$	$4$	$0$	2.20.3, 3.8640.14	✓	✓	$1$	\( 3 \)	\(0.664878\)	\(8.473201\)	\(1.877882\)	$[44,9,357,48]$	$[132,672,-1264,-154608,93312]$	$[1288408/3,149072/9,-19118/81]$	$y^2 + x^3y = x^3 - 1$