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
1936.1-a2
1936.1-a
$2$
$3$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$2.71628$
$(2), (11)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 3 \)
$3.998029254$
$5.827100832$
3.389203095
\( \frac{8192}{11} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -1\bigr] \)
${y}^2={x}^{3}+{x}^{2}+3{x}-1$
1936.1-b2
1936.1-b
$2$
$3$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$2.71628$
$(2), (11)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 3 \)
$0.434569234$
$9.327341860$
5.307114712
\( \frac{8192}{11} \)
\( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 39\) , \( -38 a + 107\bigr] \)
${y}^2={x}^{3}+a{x}^{2}+\left(-13a+39\right){x}-38a+107$
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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.