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
98.1-e6
98.1-e
$6$
$18$
\(\Q(\sqrt{23}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{4} \)
$2.69674$
$(-a+5), (-a+4), (-a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$9$
\( 2^{3} \)
$1$
$0.436190660$
0.818568360
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
98.1-f6
98.1-f
$6$
$18$
\(\Q(\sqrt{23}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{4} \)
$2.69674$
$(-a+5), (-a+4), (-a-4)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$0.697542992$
$7.027708105$
4.088657842
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -2731\) , \( 49686\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-2731{x}+49686$
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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.