Genus 2 curves in isogeny class 15360.f of discriminant 983040

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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
15360.f.983040.2	15360.f	\( 2^{10} \cdot 3 \cdot 5 \)	\( - 2^{16} \cdot 3 \cdot 5 \)	$1$	$4$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathsf{CM} \times \Q\)	\(\Q \times \Q\)	✓	$N(\mathrm{U}(1)\times\mathrm{SU}(2))$				$C_2^2$	$C_2^2$	$0$	$0$	2.90.6, 3.270.2			$2$	\( 1 \)	\(2.071439\)	\(4.168709\)	\(1.079403\)	$[11640,897,3480045,120]$	$[46560,90316832,233570058240,679472942284544,983040]$	$[222583859461440000,9273345076342800,515076721401600]$	$y^2 = -2x^6 - 15x^4 - 37x^2 - 30$
15360.f.983040.1	15360.f	\( 2^{10} \cdot 3 \cdot 5 \)	\( 2^{16} \cdot 3 \cdot 5 \)	$1$	$4$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathsf{CM} \times \Q\)	\(\Q \times \Q\)	✓	$N(\mathrm{U}(1)\times\mathrm{SU}(2))$				$C_2^2$	$C_2^2$	$0$	$0$	2.90.6, 3.270.2			$2$	\( 2 \)	\(0.517860\)	\(8.337418\)	\(1.079403\)	$[11640,897,3480045,120]$	$[46560,90316832,233570058240,679472942284544,983040]$	$[222583859461440000,9273345076342800,515076721401600]$	$y^2 = 30x^6 - 37x^4 + 15x^2 - 2$

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