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
52498.a.104996.1	52498.a	\( 2 \cdot 26249 \)	\( 2^{2} \cdot 26249 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$18$	$0$		✓	✓	$1$	\( 2 \)	\(0.020395\)	\(16.217317\)	\(0.661516\)	$[588,6873,1630563,-13439488]$	$[147,614,-3600,-226549,-104996]$	$[-68641485507/104996,-975192561/52498,19448100/26249]$	$y^2 + (x^3 + x^2 + x)y = -2x^4 - x + 1$