Genus 2 curves in isogeny class 886.a of discriminant 3544

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
886.a.3544.1	886.a	\( 2 \cdot 443 \)	\( 2^{3} \cdot 443 \)	$0$	$0$	$\Z/15\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3,5$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1, 3.80.1	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(24.085472\)	\(0.321140\)	$[232,1180,93881,-14176]$	$[116,364,-481,-47073,-3544]$	$[-2625427072/443,-71020768/443,809042/443]$	$y^2 + (x^3 + x)y = -x^4 - x + 1$