Genus 2 curves in isogeny class 7927.b of discriminant 7927

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
7927.b.7927.1	7927.b	\( 7927 \)	\( -7927 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 1 \)	\(0.018265\)	\(21.118080\)	\(0.385723\)	$[648,2388,522000,-31708]$	$[324,3976,56552,628568,-7927]$	$[-3570467226624/7927,-135232602624/7927,-5936602752/7927]$	$y^2 + x^3y = -2x^4 - x^3 + 3x^2 + x - 1$