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
3600.b.43200.1	3600.b	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$0$	2.180.7, 3.720.4	✓	✓	$1$	\( 2^{2} \cdot 3 \)	\(1.000000\)	\(8.345749\)	\(0.695479\)	$[4360,4024,5725876,172800]$	$[2180,197346,23751936,3208444191,43200]$	$[\frac{30772479098000}{27},\frac{425947988390}{9},\frac{7838798656}{3}]$	$y^2 + (x^3 + x)y = 2x^4 + 9x^2 + 12$
7200.c.43200.1	7200.c	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \)	$1$	$2$	$\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$6$	$0$	2.90.5, 3.720.4	✓	✓	$1$	\( 2 \cdot 3 \)	\(0.445811\)	\(9.374250\)	\(0.696523\)	$[4360,4024,5725876,172800]$	$[2180,197346,23751936,3208444191,43200]$	$[\frac{30772479098000}{27},\frac{425947988390}{9},\frac{7838798656}{3}]$	$y^2 + (x^3 + x)y = -3x^4 + 9x^2 - 12$

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