Genus 2 curves of conductor 741

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
741.a.28899.1	741.a	\( 3 \cdot 13 \cdot 19 \)	\( - 3^{2} \cdot 13^{2} \cdot 19 \)	$0$	$2$	$\Z/2\Z\oplus\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$3$	2.120.3	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(18.756843\)	\(0.293076\)	$[576,-840,740385,115596]$	$[288,3596,-38169,-5980972,28899]$	$[220150628352/3211,9544531968/3211,-351765504/3211]$	$y^2 + (x + 1)y = -3x^5 - x^4 + 2x^2 + x$