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-a2
11.1-a
$3$
$25$
\(\Q(\sqrt{209}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{10} \)
$2.35266$
$(70a+471)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5Cs.1.1
$1$
\( 2 \cdot 5 \)
$11.63651203$
$1.610892258$
1.037304259
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$
11.1-b2
11.1-b
$3$
$25$
\(\Q(\sqrt{209}) \)
$2$
$[2, 0]$
11.1
\( 11 \)
\( 11^{10} \)
$2.35266$
$(70a+471)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5Cs.4.1
$1$
\( 2 \cdot 5 \)
$1.122567516$
$8.512583687$
13.21997756
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -6195627759 a - 41686761846\) , \( 1292706345403712 a + 8697866248261405\bigr] \)
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6195627759a-41686761846\right){x}+1292706345403712a+8697866248261405$
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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.