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
36.1-d1
36.1-d
$1$
$1$
\(\Q(\sqrt{53}) \)
$2$
$[2, 0]$
36.1
\( 2^{2} \cdot 3^{2} \)
\( 2^{2} \cdot 3^{4} \)
$1.59350$
$(2), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2 \)
$1$
$7.106415608$
1.952282511
\( -\frac{20833}{18} a - \frac{65509}{18} \)
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( 3 a + 11\) , \( 2 a + 6\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+11\right){x}+2a+6$
324.1-b1
324.1-b
$1$
$1$
\(\Q(\sqrt{53}) \)
$2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( 2^{2} \cdot 3^{16} \)
$2.76002$
$(2), (3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$1$
\( 2^{2} \)
$0.341781253$
$12.59499794$
4.730405727
\( -\frac{20833}{18} a - \frac{65509}{18} \)
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -6 a - 12\) , \( 14 a + 48\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-12\right){x}+14a+48$
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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.