Genus 2 curves in isogeny class 2304.b of discriminant 147456

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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
2304.b.147456.1	2304.b	\( 2^{8} \cdot 3^{2} \)	\( - 2^{14} \cdot 3^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathrm{M}_2(\Q)\)		$E_1$				$D_4$	$D_4$	$0$	$0$	2.180.7, 3.2160.25		✓	$1$	\( 2 \)	\(1.000000\)	\(5.683509\)	\(0.710439\)	$[152,109,5469,18]$	$[608,14240,405504,10942208,147456]$	$[\frac{5071050752}{9},\frac{195344320}{9},1016576]$	$y^2 = -x^6 - 2x^4 - 2x^2 - 1$

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