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
39993.a.119979.1	39993.a	\( 3 \cdot 13331 \)	\( 3^{2} \cdot 13331 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$20$	$0$		✓	✓	$1$	\( 2 \)	\(0.013479\)	\(18.812189\)	\(0.507136\)	$[260,19033,674317,15357312]$	$[65,-617,5589,-4351,119979]$	$[1160290625/119979,-169443625/119979,2623725/13331]$	$y^2 + (x^3 + x^2 + 1)y = 2x^4 + x^3 - 2x^2 - x$