Genus 2 curves in isogeny class 33336.a of discriminant 800064

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
33336.a.800064.1	33336.a	\( 2^{3} \cdot 3^{2} \cdot 463 \)	\( 2^{6} \cdot 3^{3} \cdot 463 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$15$	$1$	2.6.1	✓	✓	$1$	\( 2^{2} \cdot 3 \)	\(0.005190\)	\(14.140967\)	\(0.880744\)	$[216,7920,689076,-3200256]$	$[108,-834,-34048,-1093185,-800064]$	$[-8503056/463,607986/463,229824/463]$	$y^2 + (x + 1)y = x^6 - 2x^5 - 2x^4 + x^3 + x^2$