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
3721.1-a1
3721.1-a
$1$
$1$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3721.1
\( 61^{2} \)
\( 61^{2} \)
$2.41765$
$(a+8), (a-8)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$4$
\( 1 \)
$1$
$3.977675064$
4.593023538
\( -\frac{912673}{61} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -2\) , \( -1\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-2{x}-1$
3721.1-b1
3721.1-b
$1$
$1$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
3721.1
\( 61^{2} \)
\( 61^{2} \)
$2.41765$
$(a+8), (a-8)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$1$
\( 1 \)
$0.054566085$
$37.61605819$
2.370093356
\( -\frac{912673}{61} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \)
${y}^2+{x}{y}={x}^{3}-2{x}+1$
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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.