Genus 2 curves of conductor 71407

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
71407.a.71407.1	71407.a	\( 7 \cdot 101^{2} \)	\( - 7 \cdot 101^{2} \)	$3$	$3$	$\mathsf{trivial}$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$14$	$0$	2.15.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(0.037176\)	\(19.804710\)	\(0.736260\)	$[104,3412,3776,-285628]$	$[52,-456,8120,53576,-71407]$	$[-380204032/71407,64117248/71407,-3136640/10201]$	$y^2 + x^3y = -2x^4 - 3x^3 + x^2 + 3x + 1$