Genus 2 curves of conductor 10081

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
10081.a.10081.1	10081.a	\( 17 \cdot 593 \)	\( - 17 \cdot 593 \)	$1$	$1$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.10.1, 3.80.1	✓	✓	$1$	\( 1 \)	\(0.569378\)	\(13.178255\)	\(0.833712\)	$[876,8337,1989399,1290368]$	$[219,1651,17815,293921,10081]$	$[503756397099/10081,17341210809/10081,854425215/10081]$	$y^2 + (x^2 + x + 1)y = x^6 + 2x^4 + x^3 + x^2$