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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
97.2-a4	97.2-a	$6$	$8$	$\Q(\zeta_{7})^+$	$3$	$[3, 0]$	97.2	$ 97 $	$ 97 $	$1.34080$	$(-4a^2+3a+4)$	0	$\Z/8\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	$ 1 $	$1$	$300.3482162$	0.670420125	$ \frac{96611}{97} a^{2} + \frac{4881}{97} a - \frac{152345}{97} $	$ \bigl[a^{2} + a - 1$ , $ 1$ , $ a^{2} + a - 1$ , $ 0$ , $ 0\bigr] $	${y}^2+\left(a^{2}+a-1\right){x}{y}+\left(a^{2}+a-1\right){y}={x}^{3}+{x}^{2}$

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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.