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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

Base change of	Regulator*	Curves per isogeny class	Isogeny class degree	Nonmax$\ \ell$

j-invariant

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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
64576.1-a1	64576.1-a	$1$	$1$	$\Q(\sqrt{-3}) $	$2$	$[0, 1]$	64576.1	$ 2^{6} \cdot 1009 $	$ 2^{16} \cdot 1009 $	$2.46727$	$(-35a+27), (2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$							$1$	$ 2^{2} $	$0.092063472$	$3.123996783$	2.656790354	$ \frac{35840}{1009} a - \frac{8192}{1009} $	$ \bigl[0$ , $ -a$ , $ 0$ , $ -a + 1$ , $ -4 a - 1\bigr] $	${y}^2={x}^{3}-a{x}^{2}+\left(-a+1\right){x}-4a-1$

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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.