Genus 2 curves of conductor 832

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
832.a.832.1	832.a	\( 2^{6} \cdot 13 \)	\( - 2^{6} \cdot 13 \)	$0$	$1$	$\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(21.148215\)	\(0.330441\)	$[272,-131,-12402,-104]$	$[272,3170,51008,956319,-832]$	$[-23262937088/13,-996749440/13,-58965248/13]$	$y^2 + (x^3 + x)y = x^5 - x^3 + x^2 + 2x - 1$