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
9900.5-e6
9900.5-e
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
9900.5
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 11^{8} \)
$2.95627$
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$4$
\( 2^{6} \)
$0.521676137$
$0.418120005$
4.209064212
\( \frac{455129268177961}{4392300} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1602\) , \( 24024\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-1602{x}+24024$
49500.6-i6
49500.6-i
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
49500.6
\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 11 \)
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11^{8} \)
$4.42065$
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$4$
\( 2^{4} \)
$1$
$0.186988951$
1.804137282
\( \frac{455129268177961}{4392300} \)
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -4809 a + 3206\) , \( 100903 a - 267467\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4809a+3206\right){x}+100903a-267467$
49500.7-n6
49500.7-n
$6$
$8$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
49500.7
\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 11 \)
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11^{8} \)
$4.42065$
$(-a), (a-1), (-a-1), (a-2), (-2a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$4$
\( 2^{4} \)
$1$
$0.186988951$
1.804137282
\( \frac{455129268177961}{4392300} \)
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 4807 a - 1604\) , \( -97699 a - 180987\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(4807a-1604\right){x}-97699a-180987$
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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.