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
4.1-a1
4.1-a
$2$
$5$
\(\Q(\sqrt{29}) \)
$2$
$[2, 0]$
4.1
\( 2^{2} \)
\( 2^{8} \)
$0.68054$
$(2)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.1
$1$
\( 2 \)
$1$
$48.80986873$
0.725101206
\( -\frac{1030301}{16} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( 11 a - 31\) , \( -23 a + 75\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(11a-31\right){x}-23a+75$
4.1-a2
4.1-a
$2$
$5$
\(\Q(\sqrt{29}) \)
$2$
$[2, 0]$
4.1
\( 2^{2} \)
\( 2^{40} \)
$0.68054$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.2
$1$
\( 2 \)
$1$
$1.952394749$
0.725101206
\( \frac{237176659}{1048576} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -64 a + 209\) , \( 1147 a - 3660\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-64a+209\right){x}+1147a-3660$
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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.