Genus 2 curve search results

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
1408.b.180224.2	1408.b	\( 2^{7} \cdot 11 \)	\( - 2^{14} \cdot 11 \)	$0$	$2$	$\Z/2\Z\oplus\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$3$	2.120.3	✓	✓	$1$	\( 2^{3} \)	\(1.000000\)	\(15.312728\)	\(0.478523\)	$[128,-20,-2290,-22]$	$[512,11136,410624,21557248,-180224]$	$[-2147483648/11,-91226112/11,-6569984/11]$	$y^2 = 2x^5 - 4x^3 - x^2 + 2x + 1$
2816.a.180224.2	2816.a	\( 2^{8} \cdot 11 \)	\( - 2^{14} \cdot 11 \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(5.894096\)	\(0.736762\)	$[128,-20,-2290,-22]$	$[512,11136,410624,21557248,-180224]$	$[-2147483648/11,-91226112/11,-6569984/11]$	$y^2 = 2x^5 - 4x^3 + x^2 + 2x - 1$