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-a4
28.1-a
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{6} \cdot 7^{12} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs
$1$
\( 2^{2} \cdot 3 \)
$1.826846288$
$7.027708105$
5.229222311
\( \frac{4956477625}{941192} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -142526054766590 a - 978506918170300\) , \( 2060375383192230440900 a + 14145424636801074551712\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-142526054766590a-978506918170300\right){x}+2060375383192230440900a+14145424636801074551712$
28.1-h4
28.1-h
$6$
$18$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{6} \cdot 7^{12} \)
$3.02801$
$(-a+8), (-a-7), (-498a+3917)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3Cs.1.1
$1$
\( 2^{2} \cdot 3 \)
$4.931315330$
$3.925715946$
0.876113798
\( \frac{4956477625}{941192} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-36{x}-70$
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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.