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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
875.1-a2	875.1-a	$3$	$9$	$\Q(\zeta_{7})^+$	$3$	$[3, 0]$	875.1	$ 5^{3} \cdot 7 $	$ - 5^{3} \cdot 7^{3} $	$1.93451$	$(-a^2-a+2), (5)$	0	$\Z/9\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$3$	3B.1.1	$1$	$ 3 $	$1$	$253.1797640$	1.339575471	$ -\frac{262144}{35} $	$ \bigl[0$ , $ 1$ , $ 1$ , $ -1$ , $ 0\bigr] $	${y}^2+{y}={x}^{3}+{x}^{2}-{x}$

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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.