Genus 2 curves in isogeny class 1104.a of discriminant 17664

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
1104.a.17664.1	1104.a	\( 2^{4} \cdot 3 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 23 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 5 \)	\(1.000000\)	\(8.907497\)	\(0.445375\)	$[88,160,4888,69]$	$[176,864,-1280,-242944,17664]$	$[659664896/69,6133248/23,-154880/69]$	$y^2 = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1$