Genus 2 curves in isogeny class 1544.a of discriminant 3088

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
1544.a.3088.1	1544.a	\( 2^{3} \cdot 193 \)	\( - 2^{4} \cdot 193 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$8$	$0$	2.10.1	✓	✓	$1$	\( 2 \)	\(0.005918\)	\(20.256903\)	\(0.239772\)	$[40,109,589,386]$	$[40,-6,432,4311,3088]$	$[6400000/193,-24000/193,43200/193]$	$y^2 + (x^3 + x^2 + x + 1)y = x^2$