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
44.1-a1
44.1-a
$2$
$5$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{2} \cdot 11 \)
$2.01952$
$(a-6), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.1
$1$
\( 1 \)
$1.495802233$
$9.195017716$
3.134811134
\( -\frac{990711}{22} a - \frac{1916487}{11} \)
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -a - 2\) , \( -a - 6\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-2\right){x}-a-6$
44.1-f1
44.1-f
$2$
$5$
\(\Q(\sqrt{77}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{2} \cdot 11 \)
$2.01952$
$(a-6), (2)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.1.1
$1$
\( 1 \)
$10.18783614$
$30.28931404$
2.813299791
\( -\frac{990711}{22} a - \frac{1916487}{11} \)
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -5 a + 10\) , \( -3 a + 6\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+10\right){x}-3a+6$
Download
displayed columns for
results
to
Text
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.