Genus 2 curves in isogeny class 464.a of discriminant 464

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
464.a.464.1	464.a	\( 2^{4} \cdot 29 \)	\( 2^{4} \cdot 29 \)	$0$	$1$	$\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(14.421431\)	\(0.225335\)	$[136,280,15060,1856]$	$[68,146,-64,-6417,464]$	$[90870848/29,2869192/29,-18496/29]$	$y^2 + (x + 1)y = -x^6 - 2x^5 - 2x^4 - x^3$