Genus 2 curves of conductor 1136

Results (displaying both 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
1136.a.9088.1	1136.a	\( 2^{4} \cdot 71 \)	\( - 2^{7} \cdot 71 \)	$0$	$1$	$\Z/14\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,7$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.15.1	✓	✓	$1$	\( 7 \)	\(1.000000\)	\(13.476708\)	\(0.481311\)	$[432,1368,174708,36352]$	$[216,1716,17596,214020,9088]$	$[3673320192/71,135104112/71,6413742/71]$	$y^2 + (x^3 + x)y = x^4 - x^3 + 2x^2 - x + 1$
1136.a.290816.1	1136.a	\( 2^{4} \cdot 71 \)	\( 2^{12} \cdot 71 \)	$0$	$1$	$\Z/14\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,7$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 7 \)	\(1.000000\)	\(13.476708\)	\(0.481311\)	$[9252,17217,52921881,36352]$	$[9252,3555168,1815712832,1039938903360,290816]$	$[66203075280122793/284,1374792164318403/142,151781365064097/284]$	$y^2 + (x^3 + x^2)y = -5x^4 - 9x^3 + 25x^2 + 40x - 24$