Genus 2 curves in isogeny class 11664.a of discriminant 11664

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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
11664.a.11664.1	11664.a	\( 2^{4} \cdot 3^{6} \)	\( 2^{4} \cdot 3^{6} \)	$1$	$1$	$\Z/3\Z$	\(\mathrm{M}_2(\mathsf{CM})\)	\(\Q \times \Q\)	✓	$D_{6,2}$				$C_2^2$	$C_3:D_4$	$2$	$0$	2.120.2, 3.8640.7	✓	✓	$1$	\( 1 \)	\(0.900641\)	\(10.216231\)	\(1.022351\)	$[40,45,555,6]$	$[120,330,-320,-36825,11664]$	$[6400000/3,440000/9,-32000/81]$	$y^2 + y = -x^6$

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