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
19.1-c1
19.1-c
$1$
$1$
\(\Q(\sqrt{38}) \)
$2$
$[2, 0]$
19.1
\( 19 \)
\( 19^{2} \)
$2.30011$
$(3a-19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.731231101$
$12.79541874$
3.035619650
\( -\frac{2299968}{19} \)
\( \bigl[a\) , \( 1\) , \( 1\) , \( -17 a - 65\) , \( -149 a - 876\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-17a-65\right){x}-149a-876$
19.1-f1
19.1-f
$1$
$1$
\(\Q(\sqrt{38}) \)
$2$
$[2, 0]$
19.1
\( 19 \)
\( 19^{2} \)
$2.30011$
$(3a-19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2 \)
$0.731231101$
$12.79541874$
3.035619650
\( -\frac{2299968}{19} \)
\( \bigl[a\) , \( 1\) , \( 1\) , \( 16 a - 65\) , \( 149 a - 876\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(16a-65\right){x}+149a-876$
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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.