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
484.1-a1
484.1-a
$2$
$3$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
484.1
\( 2^{2} \cdot 11^{2} \)
\( 2^{24} \cdot 11^{4} \)
$1.39010$
$(-2a+1), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 2^{2} \cdot 3 \)
$0.041190460$
$1.300067656$
0.775010347
\( -\frac{128667913}{4096} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -52\) , \( 144\bigr] \)
${y}^2+{x}{y}={x}^{3}-52{x}+144$
484.1-a2
484.1-a
$2$
$3$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
484.1
\( 2^{2} \cdot 11^{2} \)
\( 2^{8} \cdot 11^{4} \)
$1.39010$
$(-2a+1), (2)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 2^{2} \cdot 3 \)
$0.123571382$
$3.900202968$
0.775010347
\( \frac{24167}{16} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( 3\) , \( 1\bigr] \)
${y}^2+{x}{y}={x}^{3}+3{x}+1$
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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.