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
441.2-a4
441.2-a
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
441.2
\( 3^{2} \cdot 7^{2} \)
\( 3^{16} \cdot 7^{2} \)
$1.35814$
$(-a), (a-1), (7)$
0
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$1$
$1.724153859$
1.039703896
\( \frac{6570725617}{45927} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \)
${y}^2+{x}{y}={x}^{3}-39{x}+90$
3969.3-a4
3969.3-a
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
3969.3
\( 3^{4} \cdot 7^{2} \)
\( 3^{28} \cdot 7^{2} \)
$2.35237$
$(-a), (a-1), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$0.574717953$
1.386271862
\( \frac{6570725617}{45927} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -351\) , \( -2430\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-351{x}-2430$
11025.4-d4
11025.4-d
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
11025.4
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 3^{16} \cdot 5^{6} \cdot 7^{2} \)
$3.03689$
$(-a), (a-1), (-a-1), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$0.771065046$
3.719757743
\( \frac{6570725617}{45927} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -117 a + 78\) , \( 360 a - 990\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-117a+78\right){x}+360a-990$
11025.6-c4
11025.6-c
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
11025.6
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 3^{16} \cdot 5^{6} \cdot 7^{2} \)
$3.03689$
$(-a), (a-1), (a-2), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$0.771065046$
3.719757743
\( \frac{6570725617}{45927} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 117 a - 39\) , \( -360 a - 630\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(117a-39\right){x}-360a-630$
21609.2-a4
21609.2-a
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
21609.2
\( 3^{2} \cdot 7^{4} \)
\( 3^{16} \cdot 7^{14} \)
$3.59330$
$(-a), (a-1), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$3.277722588$
$0.246307694$
3.894698226
\( \frac{6570725617}{45927} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1912\) , \( -32782\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1912{x}-32782$
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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.