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
104976.a.104976.1	104976.a	\( 2^{4} \cdot 3^{8} \)	\( 2^{4} \cdot 3^{8} \)	$1$	$1$	$\mathsf{trivial}$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_6)$		✓		$C_2$	$D_6$	$2$	$0$	2.40.1, 3.960.3	✓	✓	$1$	\( 1 \)	\(0.539918\)	\(3.982188\)	\(2.150055\)	$[104,837,21105,-54]$	$[312,-966,-976,-309417,-104976]$	$[-\frac{760408064}{27},\frac{22637888}{81},\frac{659776}{729}]$	$y^2 + y = -x^6 - 2x^3 - 1$
104976.b.104976.1	104976.b	\( 2^{4} \cdot 3^{8} \)	\( 2^{4} \cdot 3^{8} \)	$0$	$0$	$\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_6)$		✓		$C_2$	$D_6$	$2$	$0$	2.40.1, 3.2880.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(11.946565\)	\(1.327396\)	$[104,837,21105,-54]$	$[312,-966,-976,-309417,-104976]$	$[-\frac{760408064}{27},\frac{22637888}{81},\frac{659776}{729}]$	$y^2 + x^3y = 2x^3 + 3$

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