Genus 2 curves in isogeny class 100121.b of discriminant 700847

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
100121.b.700847.1	100121.b	\( 7 \cdot 14303 \)	\( 7^{2} \cdot 14303 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 2 \)	\(0.033092\)	\(14.435395\)	\(0.955379\)	$[1820,71209,42800059,-89708416]$	$[455,5659,-1397,-8164979,-700847]$	$[-397979684375/14303,-10878720125/14303,5902325/14303]$	$y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 + 6x + 4$