Genus 2 curve search results

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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
10080.a.60480.1	10080.a	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \)	\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \)	$0$	$4$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.180.7, 3.90.1	✓	✓	$4$	\( 2 \cdot 3 \)	\(1.000000\)	\(0.556034\)	\(0.834051\)	$[161296,406586887,19127473723714,7560]$	$[161296,812958726,4856153621760,30594066098964471,60480]$	$[\frac{1705838896690345318825984}{945},\frac{17767980154611986862208}{315},\frac{6266846885932235776}{3}]$	$y^2 + xy = -15x^6 + 58x^4 - 60x^2 + 7$
10080.b.60480.1	10080.b	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \)	\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \)	$0$	$3$	$\Z/4\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.90.5, 3.90.1		✓	$4$	\( 2 \)	\(1.000000\)	\(0.944615\)	\(0.472308\)	$[161296,406586887,19127473723714,7560]$	$[161296,812958726,4856153621760,30594066098964471,60480]$	$[\frac{1705838896690345318825984}{945},\frac{17767980154611986862208}{315},\frac{6266846885932235776}{3}]$	$y^2 + xy = -15x^6 - 58x^4 - 60x^2 - 7$

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