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-e2 36.1-e $2$
$5$
\(\Q(\sqrt{53}) \) $2$
$[2, 0]$
36.1
\( 2^{2} \cdot 3^{2} \)
\( 2^{10} \cdot 3^{20} \)
$1.59350$
$(2), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$5$
5B.1.2 $1$
\( 2 \)
$1$
$1.925944052$
0.529097522
\( \frac{1160935651}{1889568} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( 154 a + 488\) , \( -2384 a - 7484\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(154a+488\right){x}-2384a-7484$
324.1-g2 324.1-g $2$
$5$
\(\Q(\sqrt{53}) \) $2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( 2^{10} \cdot 3^{32} \)
$2.76002$
$(2), (3)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$5$
5B.4.2 $1$
\( 2^{2} \)
$2.165104934$
$1.077364688$
5.126532733
\( \frac{1160935651}{1889568} \)
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1378 a + 4333\) , \( 71279 a + 223831\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1378a+4333\right){x}+71279a+223831$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
