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
11.1-a4
11.1-a
$4$
$4$
4.4.18625.1
$4$
$[4, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$16.45738$
$(1/6a^3-7/3a-11/6)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2 \)
$0.600577489$
$1406.859057$
3.095576241
\( \frac{4823165761}{242} a^{3} - \frac{6386985120}{121} a^{2} - \frac{23238969544}{121} a + \frac{120028019549}{242} \)
\( \bigl[a\) , \( -\frac{1}{6} a^{3} + \frac{7}{3} a - \frac{1}{6}\) , \( 0\) , \( -\frac{1}{6} a^{3} + \frac{10}{3} a + \frac{5}{6}\) , \( \frac{1}{3} a^{3} - a^{2} - \frac{8}{3} a + \frac{31}{3}\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-\frac{1}{6}a^{3}+\frac{7}{3}a-\frac{1}{6}\right){x}^{2}+\left(-\frac{1}{6}a^{3}+\frac{10}{3}a+\frac{5}{6}\right){x}+\frac{1}{3}a^{3}-a^{2}-\frac{8}{3}a+\frac{31}{3}$
11.1-b2
11.1-b
$4$
$4$
4.4.18625.1
$4$
$[4, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$16.45738$
$(1/6a^3-7/3a-11/6)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2 \)
$1.305071124$
$756.7063129$
3.618123622
\( \frac{4823165761}{242} a^{3} - \frac{6386985120}{121} a^{2} - \frac{23238969544}{121} a + \frac{120028019549}{242} \)
\( \bigl[\frac{1}{6} a^{3} + a^{2} - \frac{1}{3} a - \frac{35}{6}\) , \( -a - 1\) , \( a^{2} + a - 6\) , \( \frac{107}{6} a^{3} + 34 a^{2} - \frac{524}{3} a - \frac{2023}{6}\) , \( -\frac{337}{3} a^{3} - 142 a^{2} + \frac{3587}{3} a + \frac{5222}{3}\bigr] \)
${y}^2+\left(\frac{1}{6}a^{3}+a^{2}-\frac{1}{3}a-\frac{35}{6}\right){x}{y}+\left(a^{2}+a-6\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(\frac{107}{6}a^{3}+34a^{2}-\frac{524}{3}a-\frac{2023}{6}\right){x}-\frac{337}{3}a^{3}-142a^{2}+\frac{3587}{3}a+\frac{5222}{3}$
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Pari/GP
SageMath
Magma
Oscar
CSV
*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.