Genus 2 curves of conductor 206111

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
206111.a.206111.1	206111.a	\( 79 \cdot 2609 \)	\( - 79 \cdot 2609 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$15$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.067873\)	\(18.737287\)	\(1.271754\)	$[788,34153,6373269,-26382208]$	$[197,194,7052,337902,-206111]$	$[-296709280757/206111,-1483202362/206111,-273681068/206111]$	$y^2 + (x^3 + x^2 + x)y = 3x^4 + 3x^3 - x^2 - x$