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
708.a.19116.1	708.a	\( 2^{2} \cdot 3 \cdot 59 \)	\( - 2^{2} \cdot 3^{4} \cdot 59 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(16.267181\)	\(0.325344\)	$[908,-132815,8426215,2446848]$	$[227,7681,-438901,-39657072,19116]$	$[602738989907/19116,89845294523/19116,-383324231/324]$	$y^2 + (x^3 + 1)y = -x^5 + 4x^2 + 4x - 1$