Genus 2 curves of conductor 1050

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
1050.a.131250.1	1050.a	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2 \cdot 3 \cdot 5^{5} \cdot 7 \)	$0$	$3$	$\Z/2\Z\oplus\Z/4\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.90.6, 3.90.1			$2$	\( 2 \)	\(1.000000\)	\(6.612551\)	\(0.413284\)	$[11868,198609,759217863,16800000]$	$[2967,358520,56735700,9949557875,131250]$	$[76641937806559869/43750,312136655012892/4375,475666111026/125]$	$y^2 + (x^2 + x)y = 3x^6 + 8x^5 + 15x^4 + 17x^3 + 15x^2 + 8x + 3$