Genus 2 curves of conductor 12092

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
12092.a.48368.1	12092.a	\( 2^{2} \cdot 3023 \)	\( - 2^{4} \cdot 3023 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$11$	$1$	2.6.1	✓	✓	$1$	\( 3 \)	\(0.008974\)	\(20.615179\)	\(0.555019\)	$[608,7228,1342988,-193472]$	$[304,2646,17540,-417289,-48368]$	$[-162273624064/3023,-4646121984/3023,-101311040/3023]$	$y^2 + (x^2 + 1)y = x^5 - x^4 - 3x^3 + x^2 + 2x$