Genus 2 curves in isogeny class 26400.c of discriminant 264000

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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
26400.c.264000.1	26400.c	$2^{5} \cdot 3 \cdot 5^{2} \cdot 11$	$2^{6} \cdot 3 \cdot 5^{3} \cdot 11$	$1$	$2$	$\Z/12\Z$	$\Q \times \Q$	$\Q \times \Q$	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.45.1, 3.720.4	✓	✓	$1$	$3^{2}$	$1.462714$	$15.846081$	$1.448643$	$[9184,99796,295118936,33000]$	$[9184,3447880,1700529600,932446838000,264000]$	$[1020891061397487616/4125,8346372992577536/825,2716526984192/5]$	$y^2 + x^3y = -8x^4 - 10x^3 + 64x^2 + 150x + 70$

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