Genus 2 Curves in Isogeny Class 277.a of Discriminant 277

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Conductor	Discriminant	Rational points	Weierstrass	Torsion order	Torsion
2-Selmer rank	Analytic rank*	Geometric invariants		\(\GL_2\)-type	\(\mathrm{ST}\)
\(\mathrm{ST}^0\)	\(\mathrm{Aut}(X)\)	\(\mathrm{Aut}(X_{\overline{\Q}})\)	\(\overline{\Q}\)-end algebra	Locally solvable	Square Ш*
\(\overline{\mathbb Q}\)-simple	Bad primes

Results (displaying both matches)

Label	Class	Equation	Sato-Tate	\(\overline{\Q}\)-simple	\(\GL_2\)	Rank*
277.a.277.1	277.a	\(y^2 + (x^3 + x^2 + x + 1)y = -x^2 - x\)	$\mathrm{USp}(4)$	✓		0
277.a.277.2	277.a	\(y^2 + y = x^5 - 9x^4 + 14x^3 - 19x^2 + 11x - 6\)	$\mathrm{USp}(4)$	✓		0