Genus 2 curves of conductor 3264

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
3264.a.3264.1	3264.a	\( 2^{6} \cdot 3 \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 17 \)	$1$	$2$	$\Z/2\Z$	\(\Q \times \Q\)	\(\Q\)		$N(\mathrm{SU}(2)\times\mathrm{SU}(2))$		✓		$C_2$	$C_2^2$	$6$	$0$	2.45.1, 3.45.1	✓	✓	$1$	\( 1 \)	\(0.128118\)	\(10.072611\)	\(0.322622\)	$[668,172,41224,408]$	$[668,18478,674628,27303755,3264]$	$[2078271769712/51,86060601314/51,92228923]$	$y^2 + x^3y = x^5 - 3x^3 + 4x - 2$