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
$3$
$25$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$1.42801$
$(a-6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.4.2
$1$
\( 2 \)
$0.555680735$
$8.512583687$
2.156261180
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -70382 a - 273705\) , \( 21156761 a + 82247005\bigr] \)
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-70382a-273705\right){x}+21156761a+82247005$
11.1-b1
11.1-b
$3$
$25$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{2} \)
$1.42801$
$(a-6)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 2 \)
$70.51588395$
$0.064435690$
2.071228764
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7820\) , \( -263580\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$
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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.