Genus 2 curves in isogeny class 1753.a of discriminant 1753

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
1753.a.1753.1	1753.a	\( 1753 \)	\( -1753 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$6$	$0$	2.10.1	✓	✓	$1$	\( 1 \)	\(0.011436\)	\(22.364636\)	\(0.255772\)	$[108,1497,18531,224384]$	$[27,-32,256,1472,1753]$	$[14348907/1753,-629856/1753,186624/1753]$	$y^2 + (x^3 + 1)y = x^2$