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
28.1-a6
28.1-a
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$5.480538865$
$7.027708105$
5.229222311
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( 10956115758347870 a - 86174889500277745\) , \( -1694134786000379256716200 a + 13325149277555118368887821\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(10956115758347870a-86174889500277745\right){x}-1694134786000379256716200a+13325149277555118368887821$
28.1-h6
28.1-h
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \)
$14.79394599$
$0.436190660$
0.876113798
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
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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.