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
10097.a.10097.1	10097.a	\( 23 \cdot 439 \)	\( 23 \cdot 439 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.20.2	✓	✓	$1$	\( 1 \)	\(0.099172\)	\(11.170733\)	\(1.107828\)	$[484,5761,1219457,1292416]$	$[121,370,-4768,-178457,10097]$	$[25937424601/10097,655477570/10097,-69808288/10097]$	$y^2 + (x^3 + x + 1)y = -x^4 + 2x^3 - 3x^2 + 2x - 1$