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Conductor	Absolute discriminant	Rational points*	Weierstrass points	Torsion order

Bad \(p\)	2-Selmer rank	Analytic rank*	Analytic Ш*	Torsion

\(\Q\)-end algebra	\(\mathrm{ST}(X)\)	\(\mathrm{Aut}(X)\)	Square Ш*	\(\overline{\Q}\)-simple

\(\overline{\Q}\)-end algebra	\(\mathrm{ST}^0(X)\)	\(\mathrm{Aut}(X_{\overline{\Q}})\)	Locally solvable	$\GL_2$-type

Galois image	Nonmax$\ \ell$

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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
8664.c.658464.1	8664.c	\( 2^{3} \cdot 3 \cdot 19^{2} \)	\( 2^{5} \cdot 3 \cdot 19^{3} \)	$0$	$1$	$\Z/10\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$3$	$1$	2.60.1, 3.80.4	✓	✓	$1$	\( 2 \cdot 5 \)	\(1.000000\)	\(10.143850\)	\(1.014385\)	$[640,36448,5569220,-2633856]$	$[320,-1808,-2980,-1055616,-658464]$	$[-\frac{104857600000}{20577},\frac{1851392000}{20577},\frac{9536000}{20577}]$	$y^2 + (x + 1)y = -2x^5 + 4x^4 + 2x^3 + 2x^2$

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