Genus 2 curves in isogeny class 1854.a of discriminant 11124

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
1854.a.11124.1	1854.a	\( 2 \cdot 3^{2} \cdot 103 \)	\( - 2^{2} \cdot 3^{3} \cdot 103 \)	$1$	$1$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.10.1, 3.80.1	✓	✓	$1$	\( 2 \cdot 3 \)	\(0.016344\)	\(25.054742\)	\(0.273003\)	$[44,19705,981779,1423872]$	$[11,-816,-11124,-197055,11124]$	$[161051/11124,-90508/927,-121]$	$y^2 + (x^3 + x^2 + x)y = -2x^3 - 2x^2 + x + 1$