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
20.1-a1
20.1-a
$1$
$1$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
20.1
\( 2^{2} \cdot 5 \)
\( - 2^{8} \cdot 5 \)
$1.41413$
$(-a+4), (-a+3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 1 \)
$1$
$13.92592824$
1.860930439
\( \frac{3236}{5} a + \frac{12108}{5} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -13 a - 26\) , \( -32 a - 99\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-13a-26\right){x}-32a-99$
20.1-b1
20.1-b
$1$
$1$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
20.1
\( 2^{2} \cdot 5 \)
\( - 2^{8} \cdot 5 \)
$1.41413$
$(-a+4), (-a+3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 1 \)
$0.223019342$
$31.97666518$
1.905950784
\( \frac{3236}{5} a + \frac{12108}{5} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 2\) , \( -2 a + 8\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+2{x}-2a+8$
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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.