Genus 2 curves in isogeny class 3092.a of discriminant 98944

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
3092.a.98944.1	3092.a	\( 2^{2} \cdot 773 \)	\( - 2^{7} \cdot 773 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 11 \)	\(0.002124\)	\(19.591064\)	\(0.457655\)	$[276,19545,1278813,-12664832]$	$[69,-616,-1392,-118876,-98944]$	$[-1564031349/98944,25295193/12368,414207/6184]$	$y^2 + (x^3 + 1)y = -x^4 + 3x^2 + x$