Genus 2 curves in isogeny class 11079.b of discriminant 33237

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
11079.b.33237.1	11079.b	\( 3^{2} \cdot 1231 \)	\( - 3^{3} \cdot 1231 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 3 \)	\(0.006363\)	\(21.219427\)	\(0.405043\)	$[484,9673,1060021,-4254336]$	$[121,207,2925,77769,-33237]$	$[-25937424601/33237,-40745903/3693,-4758325/3693]$	$y^2 + (x^3 + x + 1)y = 3x^5 + 5x^4 + 2x^3$