Genus 2 curves in isogeny class 60916.a of discriminant 243664

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
60916.a.243664.1	60916.a	\( 2^{2} \cdot 97 \cdot 157 \)	\( - 2^{4} \cdot 97 \cdot 157 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$20$	$0$		✓	✓	$1$	\( 3 \)	\(0.014488\)	\(16.659342\)	\(0.724084\)	$[72,933,50337,30458]$	$[72,-406,-31440,-607129,243664]$	$[120932352/15229,-9471168/15229,-10186560/15229]$	$y^2 + x^3y = 2x^3 - x^2 - 2x + 1$