Genus 2 curves of conductor 7697

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
7697.a.7697.1	7697.a	\( 43 \cdot 179 \)	\( 43 \cdot 179 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 1 \)	\(0.018544\)	\(19.064654\)	\(0.353535\)	$[12,2553,50451,-985216]$	$[3,-106,-612,-3268,-7697]$	$[-243/7697,2862/7697,5508/7697]$	$y^2 + (x^3 + 1)y = x^3 - x^2$