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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
20736.f.186624.1	20736.f	\( 2^{8} \cdot 3^{4} \)	\( 2^{8} \cdot 3^{6} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathsf{CM}\)	✓	$E_6$		✓		$C_6$	$D_6$	$3$	$3$	2.240.1, 3.480.12	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(7.834469\)	\(1.468963\)	$[74,288,5502,3]$	$[444,1302,-1292,-567213,186624]$	$[\frac{277375828}{3},\frac{10991701}{18},-\frac{442187}{324}]$	$y^2 = x^5 - 2x^4 - 9x^3 - 7x^2 - x$
20736.g.186624.1	20736.g	\( 2^{8} \cdot 3^{4} \)	\( 2^{8} \cdot 3^{6} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathsf{CM}\)	✓	$E_6$		✓		$C_6$	$D_6$	$3$	$3$	2.240.1, 3.480.12	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(21.153445\)	\(1.322090\)	$[74,288,5502,3]$	$[444,1302,-1292,-567213,186624]$	$[\frac{277375828}{3},\frac{10991701}{18},-\frac{442187}{324}]$	$y^2 = x^5 + 2x^4 - 9x^3 + 7x^2 - x$

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