Genus 2 curve search results

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
1122.b.2244.1	1122.b	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 11 \cdot 17 \)	$0$	$2$	$\Z/2\Z\oplus\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.180.3, 3.80.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(30.724131\)	\(0.426724\)	$[1828,153793,73850145,287232]$	$[457,2294,8704,-321177,2244]$	$[19933382494057/2244,109474259971/1122,26732672/33]$	$y^2 + (x^2 + x)y = x^5 + 7x^4 + 5x^3 - x^2 - x$