Genus 2 curves in isogeny class 20412.b of discriminant 734832

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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
20412.b.734832.1	20412.b	\( 2^{2} \cdot 3^{6} \cdot 7 \)	\( 2^{4} \cdot 3^{8} \cdot 7 \)	$0$	$0$	$\Z/3\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$2$	$0$	2.20.2, 3.720.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(4.793479\)	\(0.532609\)	$[9140,5234697,11956156581,-387072]$	$[6855,-5052,-1696,-9287196,-734832]$	$[-\frac{62291820293928125}{3024},\frac{5022740131625}{2268},\frac{553449850}{5103}]$	$y^2 + (x^2 + x)y = x^6 + 3x^5 + 2x^4 + 7x^3 + 11x^2 + 14$

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