Genus 2 curve search results

Results (displaying both matches)

 

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
816.b.52224.1	816.b	\( 2^{4} \cdot 3 \cdot 17 \)	\( - 2^{10} \cdot 3 \cdot 17 \)	$0$	$2$	$\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.45.1, 3.720.4			$2$	\( 3 \)	\(1.000000\)	\(2.423742\)	\(0.403957\)	$[15964,2380825,11444690699,6528]$	$[15964,9031504,6282991104,4683401370560,52224]$	$[1012531723491160951/51,35882713644370099/51,30660536527816]$	$y^2 + (x^3 + x)y = -x^6 - 12x^4 - 27x^2 - 17$
1632.a.52224.1	1632.a	\( 2^{5} \cdot 3 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 17 \)	$0$	$1$	$\Z/12\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.45.1, 3.720.4	✓	✓	$1$	\( 2 \cdot 3 \)	\(1.000000\)	\(15.157132\)	\(0.631547\)	$[15964,2380825,11444690699,6528]$	$[15964,9031504,6282991104,4683401370560,52224]$	$[1012531723491160951/51,35882713644370099/51,30660536527816]$	$y^2 + (x^3 + x)y = -x^6 + 11x^4 - 27x^2 + 17$