Genus 2 curves in isogeny class 880.a of discriminant 225280

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
880.a.225280.1	880.a	\( 2^{4} \cdot 5 \cdot 11 \)	\( - 2^{12} \cdot 5 \cdot 11 \)	$0$	$1$	$\Z/2\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$1$	$1$	2.60.1, 3.640.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(1.515082\)	\(0.378770\)	$[2342,111952,73574536,-880]$	$[4684,615622,103120196,26006137795,-225280]$	$[-2201833501574851/220,-494259267301121/1760,-35350660170809/3520]$	$y^2 = x^5 + 13x^4 + 55x^3 + 76x^2 - 44$