Genus 2 curves of conductor 14147

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
14147.a.14147.1	14147.a	\( 7 \cdot 43 \cdot 47 \)	\( 7 \cdot 43 \cdot 47 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.130485\)	\(9.294468\)	\(1.212787\)	$[304,2188,217703,56588]$	$[152,598,-663,-114595,14147]$	$[81136812032/14147,2100061184/14147,-15317952/14147]$	$y^2 + xy = x^5 + 3x^4 + 6x^3 + 6x^2 + 4x + 1$