Genus 2 curves in isogeny class 1216.a of discriminant 1216

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
1216.a.1216.1	1216.a	\( 2^{6} \cdot 19 \)	\( - 2^{6} \cdot 19 \)	$0$	$1$	$\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1, 3.80.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(14.632279\)	\(0.406452\)	$[156,-165,-8886,-152]$	$[156,1124,11920,149036,-1216]$	$[-1443587184/19,-66674556/19,-4532580/19]$	$y^2 + (x + 1)y = -x^6 + x^4 - x^3 - x^2$