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
5808.1-a1
5808.1-a
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5808.1
\( 2^{4} \cdot 3 \cdot 11^{2} \)
\( 2^{8} \cdot 3^{20} \cdot 11^{2} \)
$1.35116$
$(-2a+1), (2), (11)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2 \cdot 3 \)
$1$
$0.871465845$
1.509423120
\( -\frac{3196715008}{649539} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 330\bigr] \)
${y}^2={x}^{3}-{x}^{2}-77{x}+330$
5808.1-a2
5808.1-a
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5808.1
\( 2^{4} \cdot 3 \cdot 11^{2} \)
\( 2^{16} \cdot 3^{10} \cdot 11^{4} \)
$1.35116$
$(-2a+1), (2), (11)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$1$
$0.435732922$
1.509423120
\( \frac{932410994128}{29403} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1292\) , \( 18312\bigr] \)
${y}^2={x}^{3}-{x}^{2}-1292{x}+18312$
5808.1-b1
5808.1-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5808.1
\( 2^{4} \cdot 3 \cdot 11^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 11^{2} \)
$1.35116$
$(-2a+1), (2), (11)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$0.077910422$
$4.037938580$
2.179595434
\( \frac{131072}{99} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a - 3\) , \( 0\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(3a-3\right){x}$
5808.1-b2
5808.1-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5808.1
\( 2^{4} \cdot 3 \cdot 11^{2} \)
\( 2^{16} \cdot 3^{2} \cdot 11^{4} \)
$1.35116$
$(-2a+1), (2), (11)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \cdot 3 \)
$0.155820845$
$2.018969290$
2.179595434
\( \frac{810448}{363} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( -12 a + 12\) , \( -12\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(-12a+12\right){x}-12$
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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.