Genus 2 curves of conductor 2836

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
2836.a.5672.1	2836.a	\( 2^{2} \cdot 709 \)	\( 2^{3} \cdot 709 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$8$	$0$		✓	✓	$1$	\( 3 \)	\(0.006682\)	\(19.554837\)	\(0.391973\)	$[28,3505,44695,-726016]$	$[7,-144,-336,-5772,-5672]$	$[-16807/5672,6174/709,2058/709]$	$y^2 + (x^3 + x + 1)y = x^5 + x^2$