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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
62208.d.186624.1	62208.d	\( 2^{8} \cdot 3^{5} \)	\( 2^{8} \cdot 3^{6} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.240.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(12.839821\)	\(1.604978\)	$[42,48,606,3]$	$[252,1494,1332,-474093,186624]$	$[5445468,\frac{256221}{2},\frac{1813}{4}]$	$y^2 = x^5 + x^4 - 3x^3 - 2x^2 + x$
62208.g.186624.1	62208.g	\( 2^{8} \cdot 3^{5} \)	\( 2^{8} \cdot 3^{6} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.240.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(17.636780\)	\(2.204598\)	$[42,48,606,3]$	$[252,1494,1332,-474093,186624]$	$[5445468,\frac{256221}{2},\frac{1813}{4}]$	$y^2 = x^5 - x^4 - 3x^3 + 2x^2 + x$

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