Genus 2 curve search results

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
656491.a.656491.1	656491.a	\( 11 \cdot 37 \cdot 1613 \)	\( - 11 \cdot 37 \cdot 1613 \)	$0$	$1$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$2$	2.30.3	✓	✓	$49$	\( 1 \)	\(1.000000\)	\(0.416774\)	\(5.105476\)	$[72288,322031592,5833363520871,-2625964]$	$[36144,760932,15885873,-1209628728,-656491]$	$[-61685212883971262644224/656491,-35929774282917593088/656491,-20753125548726528/656491]$	$y^2 + xy = x^5 - 98x^4 + 86x^3 - 17x^2 - x$