Genus 2 curve search results

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
841.a.841.1	841.a	\( 29^{2} \)	\( - 29^{2} \)	$0$	$0$	$\Z/7\Z$	\(\mathsf{RM}\)	\(\mathsf{RM}\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$		✓	✓	$C_2$	$C_2$	$2$	$0$	2.60.2, 3.72.2	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(14.284557\)	\(0.291522\)	$[1420,4201,1973899,107648]$	$[355,5076,93408,1848516,841]$	$[5638216721875/841,227094529500/841,11771743200/841]$	$y^2 + (x^3 + x^2 + x)y = x^4 + x^3 + 3x^2 + x + 2$