Genus 2 curves of conductor 59883

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
59883.a.179649.1	59883.a	\( 3 \cdot 19961 \)	\( - 3^{2} \cdot 19961 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$20$	$0$		✓	✓	$1$	\( 2 \)	\(0.018962\)	\(17.104579\)	\(0.648662\)	$[100,16873,513893,-22995072]$	$[25,-677,-2219,-128451,-179649]$	$[-9765625/179649,10578125/179649,1386875/179649]$	$y^2 + (x^3 + x + 1)y = x^5 + x^4 - 2x^3$