Genus 2 curves in isogeny class 6463.a of discriminant 6463

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
6463.a.6463.1	6463.a	\( 23 \cdot 281 \)	\( - 23 \cdot 281 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$12$	$0$		✓	✓	$1$	\( 1 \)	\(0.014972\)	\(22.488471\)	\(0.336705\)	$[396,7497,936315,827264]$	$[99,96,-2168,-55962,6463]$	$[9509900499/6463,93148704/6463,-21248568/6463]$	$y^2 + (x^2 + x + 1)y = x^6 - x^4$