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
12321.a.36963.1	12321.a	\( 3^{2} \cdot 37^{2} \)	\( - 3^{3} \cdot 37^{2} \)	$2$	$2$	$\mathsf{trivial}$	\(\mathrm{M}_2(\Q)\)	\(\mathsf{CM}\)	✓	$E_6$		✓		$C_6$	$D_6$	$12$	$0$	2.40.3, 3.480.12	✓	✓	$1$	\( 3 \)	\(0.007338\)	\(18.952746\)	\(0.417205\)	$[4,6697,85285,-4731264]$	$[1,-279,-1107,-19737,-36963]$	$[-1/36963,31/4107,41/1369]$	$y^2 + (x^3 + x + 1)y = x^5 + 3x^4 + 4x^3 + 2x^2$