Genus 2 curves of conductor 936

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
936.a.1872.1	936.a	\( 2^{3} \cdot 3^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{2} \cdot 13 \)	$0$	$3$	$\Z/2\Z\oplus\Z/4\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.90.6, 3.90.1			$2$	\( 2 \)	\(1.000000\)	\(7.131061\)	\(0.445691\)	$[45352,11224,169415364,7488]$	$[22676,21423170,26983749312,38232821637503,1872]$	$[374724646811252438336/117,15612163699641478120/117,7411896491650496]$	$y^2 + (x^3 + x)y = -x^6 - 9x^4 - 32x^2 - 39$