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
5113.a.5113.1	5113.a	\( 5113 \)	\( -5113 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$12$	$0$	2.10.1	✓	✓	$1$	\( 1 \)	\(0.011558\)	\(24.766371\)	\(0.286246\)	$[300,10329,1082211,654464]$	$[75,-196,-5088,-105004,5113]$	$[2373046875/5113,-82687500/5113,-28620000/5113]$	$y^2 + (x^2 + x + 1)y = x^6 - 2x^4 - x$