Genus 2 curves of conductor 11944

Results (3 matches)

 

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
11944.a.95552.1	11944.a	\( 2^{3} \cdot 1493 \)	\( - 2^{6} \cdot 1493 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.10.1	✓	✓	$1$	\( 2 \cdot 3 \)	\(0.004657\)	\(19.235030\)	\(0.537436\)	$[40,5536,15052,-382208]$	$[20,-906,3472,-187849,-95552]$	$[-50000/1493,113250/1493,-21700/1493]$	$y^2 + (x^3 + x)y = x^5 - 2x^3 - x^2 + x + 1$
11944.b.382208.1	11944.b	\( 2^{3} \cdot 1493 \)	\( 2^{8} \cdot 1493 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.032499\)	\(12.730707\)	\(0.827463\)	$[192,3912,180978,-47776]$	$[192,-1072,-5392,-546112,-382208]$	$[-1019215872/1493,29638656/1493,776448/1493]$	$y^2 + (x^3 + x)y = x^4 - x^3 + 4x^2 - x$
11944.c.382208.1	11944.c	\( 2^{3} \cdot 1493 \)	\( 2^{8} \cdot 1493 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$13$	$1$	2.6.1	✓	✓	$1$	\( 2^{2} \)	\(0.008186\)	\(14.220722\)	\(0.465631\)	$[6,216,-819,1493]$	$[12,-570,7748,-57981,382208]$	$[972/1493,-7695/2986,17433/5972]$	$y^2 + y = 4x^5 - 7x^4 + 3x^3 + x^2 - x$