Genus 2 curves in isogeny class 5280.a of discriminant 633600

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
5280.a.633600.1	5280.a	\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$2$	2.30.3	✓	✓	$1$	\( 2^{4} \)	\(0.008232\)	\(16.181823\)	\(0.532826\)	$[1304,57976,30026254,79200]$	$[1304,32200,-7557136,-2722836336,633600]$	$[14728142981504/2475,11156004272/99,-50196386596/2475]$	$y^2 + (x^2 + 1)y = x^5 + 12x^4 + 5x^3 + 4x^2 + 2x$