Genus 2 curves in isogeny class 6229.a of discriminant 6229

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
6229.a.6229.1	6229.a	\( 6229 \)	\( 6229 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$12$	$0$		✓	✓	$1$	\( 1 \)	\(0.015603\)	\(18.542125\)	\(0.289308\)	$[60,2793,63483,-797312]$	$[15,-107,-389,-4321,-6229]$	$[-759375/6229,361125/6229,87525/6229]$	$y^2 + (x^3 + x + 1)y = -2x^4 + 3x^3 - 3x^2$