Genus 2 curves in isogeny class 59107.a of discriminant 59107

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
59107.a.59107.1	59107.a	\( 59107 \)	\( 59107 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$18$	$0$		✓	✓	$1$	\( 1 \)	\(0.027565\)	\(20.504440\)	\(0.565207\)	$[452,20473,1298237,7565696]$	$[113,-321,12085,315641,59107]$	$[18424351793/59107,-463169937/59107,154313365/59107]$	$y^2 + (x^3 + x^2 + 1)y = 2x^4 - 3x^2 - x$