Genus 2 curves in isogeny class 7200.d of discriminant 345600

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
7200.d.345600.1	7200.d	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.20.3	✓	✓	$1$	\( 2^{3} \cdot 3 \)	\(0.001910\)	\(17.244566\)	\(0.790323\)	$[148,1945,58045,43200]$	$[148,-384,9216,304128,345600]$	$[138687914/675,-810448/225,43808/75]$	$y^2 + y = x^6 - 2x^4 - x^3 + 4x^2 - 2x$