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Base field	Conductor norm	Rank*	Torsion order	CM discriminant

Base field degree/signature	Bad $p$	$\Q$-curves	Torsion structure	CM

Analytic order of Ш*	Cyclic isogeny degree	Isogeny class size	Reduction	Galois image

j-invariant	Regulator*	Curves per isogeny class	Isogeny class degree	Nonmax$\ \ell$

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
64.1-a5	64.1-a	$8$	$12$	$\Q(\zeta_{7})^+$	$3$	$[3, 0]$	64.1	$ 2^{6} $	$ - 2^{24} $	$1.25103$	$(2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓			✓	$2, 3$	2B, 3B.1.1	$1$	$ 3 $	$1$	$47.15977059$	0.561425840	$ -208912 a^{2} + 65520 a + 561936 $	$ \bigl[0$ , $ -a$ , $ 0$ , $ 22 a^{2} - 11 a - 49$ , $ 55 a^{2} - 31 a - 124\bigr] $	${y}^2={x}^{3}-a{x}^{2}+\left(22a^{2}-11a-49\right){x}+55a^{2}-31a-124$

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*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.