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
10110.a.50550.2	10110.a	\( 2 \cdot 3 \cdot 5 \cdot 337 \)	\( - 2 \cdot 3 \cdot 5^{2} \cdot 337 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(0.303674\)	\(6.345414\)	\(0.963468\)	$[5467652,-306863,-559265218983,-6470400]$	$[1366913,77852144018,5912063482701400,505080025782601398469,-50550]$	$[-4772043231067501633914862225793/50550,-99417583641640068080475078473/25275,-655572807749456176591436/3]$	$y^2 + (x^2 + x)y = 39x^6 - 45x^5 - 62x^4 + 22x^3 + 69x^2 + 50x - 75$