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-a1
11.1-a
$3$
$25$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$0.93485$
$(-4a-9)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.4.2
$1$
\( 2 \)
$1$
$8.512583687$
2.963701228
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -2877883 a - 6827148\) , \( 4506151140 a + 10689858189\bigr] \)
${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2877883a-6827148\right){x}+4506151140a+10689858189$
11.1-b1
11.1-b
$3$
$25$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$0.93485$
$(-4a-9)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 2 \)
$7.655751664$
$0.064435690$
0.343492567
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7820\) , \( -263580\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$
121.1-e1
121.1-e
$3$
$25$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$1.70252$
$(-4a-9)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.2
$1$
\( 2 \)
$19.53044489$
$0.223304562$
3.036775978
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 688189 a - 2322636\) , \( 526275039 a - 1774717815\bigr] \)
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(688189a-2322636\right){x}+526275039a-1774717815$
121.1-g1
121.1-g
$3$
$25$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$1.70252$
$(-4a-9)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.2
$1$
\( 2 \)
$19.53044489$
$0.223304562$
3.036775978
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( -a\) , \( 1\) , \( -688189 a - 1634447\) , \( -526275039 a - 1248442776\bigr] \)
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-688189a-1634447\right){x}-526275039a-1248442776$
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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.