Genus 2 curves in isogeny class 1899.a of discriminant 5697

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
1899.a.5697.1	1899.a	\( 3^{2} \cdot 211 \)	\( 3^{3} \cdot 211 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$9$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(0.027932\)	\(19.045771\)	\(0.265996\)	$[108,-2727,-18909,-729216]$	$[27,144,-544,-8856,-5697]$	$[-531441/211,-104976/211,14688/211]$	$y^2 + (x^3 + 1)y = -x^5 + x^4 - 3x + 2$