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-d2
121.1-d
$2$
$11$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$2.60064$
$(a-6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.7
$1$
\( 1 \)
$3.693868333$
$2.776078883$
2.337210597
\( -121 \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-2{x}-7$
121.1-e2
121.1-e
$2$
$11$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$2.60064$
$(a-6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.4
$1$
\( 1 \)
$1.091663139$
$11.43979716$
2.846371639
\( -121 \)
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -18 a - 73\) , \( 395 a + 1531\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-18a-73\right){x}+395a+1531$
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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.