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-b6
28.1-b
$6$
$18$
\(\Q(\sqrt{161}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$2.60820$
$(a+6), (-a+7), (-32a+219)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \)
$34.03556686$
$0.436190660$
2.340056850
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
28.1-e6
28.1-e
$6$
$18$
\(\Q(\sqrt{161}) \)
$2$
$[2, 0]$
28.1
\( 2^{2} \cdot 7 \)
\( 2^{18} \cdot 7^{4} \)
$2.60820$
$(a+6), (-a+7), (-32a+219)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2 \)
$2.790171969$
$7.027708105$
3.090734813
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -119347789000 a - 697502942991\) , \( 56529348060097057 a + 330373834055752050\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-119347789000a-697502942991\right){x}+56529348060097057a+330373834055752050$
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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.