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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
1.1-a2	1.1-a	$4$	$57$	$\Q(\zeta_{13})^+$	$6$	$[6, 0]$	1.1	$ 1 $	$ 1 $	$54.44988$	$\textsf{none}$	0	$\Z/19\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓	✓	$3, 19$	3B, 19B.1.1	$1$	$ 1 $	$1$	$125689.9848$	0.571393	$ -17787 a^{4} + 17787 a^{3} + 71148 a^{2} - 35574 a - 75349 $	$ \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1$ , $ a^{5} - a^{4} - 5 a^{3} + 3 a^{2} + 5 a$ , $ a^{4} + a^{3} - 4 a^{2} - 3 a + 3$ , $ 5 a^{5} - 18 a^{3} + 2 a^{2} + 12 a$ , $ 8 a^{5} + 4 a^{4} - 27 a^{3} - 7 a^{2} + 16 a + 1\bigr] $	${y}^2+\left(a^{4}+a^{3}-3a^{2}-2a+1\right){x}{y}+\left(a^{4}+a^{3}-4a^{2}-3a+3\right){y}={x}^{3}+\left(a^{5}-a^{4}-5a^{3}+3a^{2}+5a\right){x}^{2}+\left(5a^{5}-18a^{3}+2a^{2}+12a\right){x}+8a^{5}+4a^{4}-27a^{3}-7a^{2}+16a+1$
1.1-a3	1.1-a	$4$	$57$	$\Q(\zeta_{13})^+$	$6$	$[6, 0]$	1.1	$ 1 $	$ 1 $	$54.44988$	$\textsf{none}$	0	$\Z/19\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓	✓	$3, 19$	3B, 19B.1.1	$1$	$ 1 $	$1$	$125689.9848$	0.571393	$ 17787 a^{4} - 17787 a^{3} - 71148 a^{2} + 35574 a + 13586 $	$ \bigl[a^{3} + a^{2} - 3 a - 1$ , $ -a^{5} + 6 a^{3} + a^{2} - 8 a - 1$ , $ a^{5} + a^{4} - 5 a^{3} - 4 a^{2} + 5 a + 3$ , $ 2 a^{5} - 9 a^{3} + 9 a + 3$ , $ a^{4} + a^{3} - 2 a^{2} - 3 a - 1\bigr] $	${y}^2+\left(a^{3}+a^{2}-3a-1\right){x}{y}+\left(a^{5}+a^{4}-5a^{3}-4a^{2}+5a+3\right){y}={x}^{3}+\left(-a^{5}+6a^{3}+a^{2}-8a-1\right){x}^{2}+\left(2a^{5}-9a^{3}+9a+3\right){x}+a^{4}+a^{3}-2a^{2}-3a-1$

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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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