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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
45.1-b8	45.1-b	$10$	$32$	$\Q(\zeta_{15})^+$	$4$	$[4, 0]$	45.1	$ 3^{2} \cdot 5 $	$ 3^{8} \cdot 5^{8} $	$4.82355$	$(-a-1), (-a^3+a^2+3a-2)$	0	$\Z/2\Z\oplus\Z/16\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2Cs	$1$	$ 2^{5} $	$1$	$985.1451572$	0.917854808	$ \frac{13997521}{225} $	$ \bigl[1$ , $ 1$ , $ 1$ , $ -5$ , $ 2\bigr] $	${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$

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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.