Genus 2 curves in isogeny class 10095.a of discriminant 30285

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
10095.a.30285.1	10095.a	\( 3 \cdot 5 \cdot 673 \)	\( 3^{2} \cdot 5 \cdot 673 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$6$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(0.073448\)	\(19.185274\)	\(0.704561\)	$[408,1140,79287,121140]$	$[204,1544,21609,506075,30285]$	$[39256206336/3365,1456449024/3365,99920016/3365]$	$y^2 + (x^3 + x)y = -2x^4 + 4x^2 - 3x$