Genus 2 curves in isogeny class 847.c of discriminant 9317

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
847.c.9317.1	847.c	\( 7 \cdot 11^{2} \)	\( 7 \cdot 11^{3} \)	$0$	$1$	$\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(9.983400\)	\(0.311981\)	$[424,3520,581427,37268]$	$[212,1286,-7999,-837396,9317]$	$[428232184832/9317,12253172608/9317,-359507056/9317]$	$y^2 + (x^3 + x^2)y = x^4 + x^3 - x - 2$