Genus 2 curves in isogeny class 11383.a of discriminant 11383

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
11383.a.11383.1	11383.a	\( 11383 \)	\( -11383 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$12$	$0$		✓	✓	$1$	\( 1 \)	\(0.018180\)	\(22.993630\)	\(0.418013\)	$[180,4857,-36819,-1457024]$	$[45,-118,3252,33104,-11383]$	$[-184528125/11383,10752750/11383,-6585300/11383]$	$y^2 + (x^3 + 1)y = -x^4 + 2x^3 - x$