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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
1369.1-b2	1369.1-b	$2$	$2$	$\Q(\sqrt{5}) $	$2$	$[2, 0]$	1369.1	$ 37^{2} $	$ - 37^{4} $	$1.21541$	$(37)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	$ 2 $	$1$	$7.807668166$	1.745847676	$ \frac{43601381210}{1369} a + \frac{26944243845}{1369} $	$ \bigl[1$ , $ \phi$ , $ 0$ , $ -4 \phi - 15$ , $ 22 \phi - 8\bigr] $	${y}^2+{x}{y}={x}^{3}+\phi{x}^{2}+\left(-4\phi-15\right){x}+22\phi-8$

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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.