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
121.1-b1
121.1-b
$2$
$2$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{2} \)
$2.23755$
$(11)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 1 \)
$1$
$36.82322769$
1.219338914
\( \frac{19683}{11} \)
\( \bigl[1\) , \( a\) , \( 1\) , \( 23 a - 92\) , \( -43 a + 187\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(23a-92\right){x}-43a+187$
121.1-c1
121.1-c
$2$
$2$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{2} \)
$2.23755$
$(11)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 1 \)
$1$
$36.82322769$
1.219338914
\( \frac{19683}{11} \)
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -23 a - 69\) , \( 43 a + 144\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-23a-69\right){x}+43a+144$
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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.