Genus 2 curves in isogeny class 17364.a of discriminant 937656

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
17364.a.937656.1	17364.a	\( 2^{2} \cdot 3 \cdot 1447 \)	\( 2^{3} \cdot 3^{4} \cdot 1447 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 2^{2} \cdot 3 \)	\(0.004697\)	\(12.514330\)	\(0.705312\)	$[348,30225,3242247,-120019968]$	$[87,-944,-13072,-507100,-937656]$	$[-61533447/11576,2877902/4341,1374194/13023]$	$y^2 + (x^3 + x + 1)y = x^5 + 2x^4 - x^2 - 2x$