Genus 2 curves of conductor 236196

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
236196.a.472392.1	236196.a	\( 2^{2} \cdot 3^{10} \)	\( - 2^{3} \cdot 3^{10} \)	$1$	$1$	$\mathsf{trivial}$	\(\mathrm{M}_2(\Q)\)	\(\Q \times \Q\)	✓	$J(E_1)$				$C_2^2$	$D_6$	$0$	$0$	2.60.2, 3.5760.11		✓	$1$	\( 1 \)	\(0.909555\)	\(4.016028\)	\(3.652798\)	$[356,3969,419553,248832]$	$[267,1482,-2884,-741588,472392]$	$[5584059449/1944,174127343/2916,-5711041/13122]$	$y^2 + (x^3 + 1)y = -x^6 - 1$