Genus 2 curves in isogeny class 482790.a of discriminant 482790

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
482790.a.482790.1	482790.a	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	$1$	$5$	$\Z/2\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.45.1, 3.90.1			$8$	\( 1 \)	\(0.513485\)	\(1.616909\)	\(1.660517\)	$[258956,284225353,22936728525979,61797120]$	$[64739,162788032,522481586340,1831248013908059,482790]$	$[1137181886990894545487699/482790,2007695068464697012064/21945,548820173942387686/121]$	$y^2 + (x^3 + 1)y = -14x^6 + 33x^5 - 61x^4 + 69x^3 - 61x^2 + 33x - 14$