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-a2
28.1-a
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{4} \cdot 7^{2} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$2.740269432$
$7.027708105$
5.229222311
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( 2089824849950 a - 16437433620775\) , \( 9033133540492898000 a - 71049749917082986023\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(2089824849950a-16437433620775\right){x}+9033133540492898000a-71049749917082986023$
28.1-h2
28.1-h
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{4} \cdot 7^{2} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{3} \)
$0.821885888$
$35.33144352$
0.876113798
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}$
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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.