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
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$1.02666$
$(2), (11)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1[2]
$1$
\( 3 \)
$1$
$3.686168794$
1.418807030
\( \frac{8192}{11} \)
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -3 a\) , \( -1\bigr] \)
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-3a{x}-1$
30976.1-a2
30976.1-a
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
30976.1
\( 2^{8} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$2.05331$
$(2), (11)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B[2]
$1$
\( 2^{2} \)
$0.047877851$
$3.686168794$
3.260612759
\( \frac{8192}{11} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 1\bigr] \)
${y}^2={x}^{3}-{x}^{2}+3{x}+1$
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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.