Genus 2 curves of conductor 6437

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
6437.a.6437.1	6437.a	\( 41 \cdot 157 \)	\( 41 \cdot 157 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 1 \)	\(0.013054\)	\(25.574626\)	\(0.333856\)	$[120,2772,168912,-25748]$	$[60,-312,-10568,-182856,-6437]$	$[-777600000/6437,67392000/6437,38044800/6437]$	$y^2 + (x^3 + x^2 + x + 1)y = x^3 - 2x$