Genus 2 curves of conductor 731

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
731.a.12427.1	731.a	\( 17 \cdot 43 \)	\( - 17^{2} \cdot 43 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(14.926779\)	\(0.298536\)	$[480,-21564,-3373785,-49708]$	$[240,5994,167265,1053891,-12427]$	$[-796262400000/12427,-82861056000/12427,-9634464000/12427]$	$y^2 + (x^3 + x^2)y = x^5 + 2x^4 - x - 3$