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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
30625.1-a2	30625.1-a	$2$	$37$	$\Q(\sqrt{-7}) $	$2$	$[0, 1]$	30625.1	$ 5^{4} \cdot 7^{2} $	$ 5^{6} \cdot 7^{4} $	$3.12757$	$(-2a+1), (5)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓		✓	$37$	37B.8.1	$1$	$ 2 $	$0.175059577$	$2.915229232$	1.543119480	$ -9317 $	$ \bigl[1$ , $ 1$ , $ 1$ , $ -8$ , $ 6\bigr] $	${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-8{x}+6$

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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.