Genus 2 curves in isogeny class 1717.b of discriminant 1717

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
1717.b.1717.1	1717.b	\( 17 \cdot 101 \)	\( 17 \cdot 101 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.017533\)	\(16.401039\)	\(0.287561\)	$[40,844,12015,6868]$	$[20,-124,-535,-6519,1717]$	$[3200000/1717,-992000/1717,-214000/1717]$	$y^2 + (x^3 + x)y = -x^4 - 2x^3 - 2x^2 - x$