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
14641.3-a2
14641.3-a
$2$
$11$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
14641.3
\( 11^{4} \)
\( 11^{20} \)
$2.60064$
$(-2a+3), (2a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.4
$1$
\( 1 \)
$3.693868333$
$0.256154731$
1.430522736
\( -121 \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -305\) , \( 7888\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-305{x}+7888$
14641.3-c2
14641.3-c
$2$
$11$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
14641.3
\( 11^{4} \)
\( 11^{8} \)
$2.60064$
$(-2a+3), (2a+1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.7
$1$
\( 1 \)
$1.091663139$
$2.817702048$
4.650446851
\( -121 \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-2{x}-7$
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.