Genus 2 curves of conductor 3812

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
3812.a.243968.1	3812.a	\( 2^{2} \cdot 953 \)	\( 2^{8} \cdot 953 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 13 \)	\(0.002640\)	\(14.802103\)	\(0.508099\)	$[108,12633,795555,-31227904]$	$[27,-496,-7056,-109132,-243968]$	$[-14348907/243968,610173/15248,321489/15248]$	$y^2 + (x^3 + 1)y = 2x^2 - 2x$