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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$\ \ell$

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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
63075.1-c1	63075.1-c	$4$	$4$	$\Q(\sqrt{-3}) $	$2$	$[0, 1]$	63075.1	$ 3 \cdot 5^{2} \cdot 29^{2} $	$ 3^{4} \cdot 5^{8} \cdot 29^{8} $	$2.45281$	$(-2a+1), (5), (29)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	$ 2^{6} $	$1$	$0.336809138$	1.555654772	$ -\frac{6561258219361}{3978455625} $	$ \bigl[a + 1$ , $ -a$ , $ 0$ , $ -390 a + 390$ , $ -4275\bigr] $	${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-390a+390\right){x}-4275$

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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.