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
73.2-a1
73.2-a
$2$
$2$
\(\Q(\sqrt{2}) \)
$2$
$[2, 0]$
73.2
\( 73 \)
\( 73^{2} \)
$0.73878$
$(2a+9)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$7.596174936$
1.342826702
\( -\frac{9684480}{5329} a - \frac{5957056}{5329} \)
\( \bigl[a\) , \( a\) , \( 1\) , \( -a + 1\) , \( -1\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-a+1\right){x}-1$
73.2-a2
73.2-a
$2$
$2$
\(\Q(\sqrt{2}) \)
$2$
$[2, 0]$
73.2
\( 73 \)
\( 73 \)
$0.73878$
$(2a+9)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 1 \)
$1$
$15.19234987$
1.342826702
\( \frac{496952832}{73} a + \frac{702946880}{73} \)
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -a - 2\) , \( -1\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-2\right){x}-1$
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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.