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
92.1-a2
92.1-a
$2$
$2$
\(\Q(\sqrt{69}) \)
$2$
$[2, 0]$
92.1
\( 2^{2} \cdot 23 \)
\( 2^{10} \cdot 23^{4} \)
$2.29885$
$(-3a+13), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$4$
\( 2^{2} \cdot 5 \)
$1$
$1.747176977$
4.206707818
\( \frac{545138290809}{16928} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -170\) , \( -812\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-170{x}-812$
92.1-d2
92.1-d
$2$
$2$
\(\Q(\sqrt{69}) \)
$2$
$[2, 0]$
92.1
\( 2^{2} \cdot 23 \)
\( 2^{10} \cdot 23^{4} \)
$2.29885$
$(-3a+13), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2 \cdot 5 \)
$0.198060968$
$13.22648541$
1.576844304
\( \frac{545138290809}{16928} \)
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 12766 a - 59386\) , \( -1592192 a + 7408984\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(12766a-59386\right){x}-1592192a+7408984$
Download
displayed columns for
results
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.