Genus 2 curve search results

Results (unique match)

 

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
26244.d.314928.1	26244.d	\( 2^{2} \cdot 3^{8} \)	\( 2^{4} \cdot 3^{9} \)	$1$	$1$	$\Z/3\Z\oplus\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_3)$		✓		$C_2$	$D_6$	$6$	$0$	2.20.3, 3.5760.3	✓	✓	$1$	\( 3^{2} \)	\(0.985565\)	\(12.739642\)	\(1.395083\)	$[24,189,1107,-162]$	$[72,-918,-3024,-265113,-314928]$	$[-6144,1088,448/9]$	$y^2 + y = x^6 - 2x^3$