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
5184.a.46656.1	5184.a	\( 2^{6} \cdot 3^{4} \)	\( - 2^{6} \cdot 3^{6} \)	$0$	$1$	$\Z/6\Z$	\(\mathrm{M}_2(\mathsf{CM})\)	\(\mathsf{CM}\)	✓	$J(C_2)$		✓		$C_2$	$D_6$	$2$	$0$	2.180.4, 3.8640.16	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(14.110203\)	\(0.783900\)	$[76,252,5160,24]$	$[228,654,-644,-143637,46656]$	$[39617584/3,1495262/9,-58121/81]$	$y^2 + x^3y = x^3 + 2$