Genus 2 curves of conductor 21952

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
21952.a.21952.1	21952.a	\( 2^{6} \cdot 7^{3} \)	\( 2^{6} \cdot 7^{3} \)	$1$	$2$	$\Z/2\Z$	\(\Q \times \Q\)	\(\Q\)		$N(\mathrm{SU}(2)\times\mathrm{SU}(2))$		✓		$C_2$	$C_2^2$	$4$	$0$	2.90.4, 3.45.1	✓	✓	$1$	\( 1 \)	\(0.310273\)	\(10.955231\)	\(0.849778\)	$[196,4732,197176,-2744]$	$[196,-1554,13916,78155,-21952]$	$[-13176688,533022,-24353]$	$y^2 + x^3y = -x^4 - 3x^3 - 2x^2 + 2$