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-e2 98.1-e $6$
$18$
\(\Q(\sqrt{23}) \) $2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.69674$
$(-a+5), (-a+4), (-a-4)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $4$
\( 2 \)
$1$
$35.33144352$
0.818568360
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}$
98.1-f2 98.1-f $6$
$18$
\(\Q(\sqrt{23}) \) $2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.69674$
$(-a+5), (-a+4), (-a-4)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B $1$
\( 2 \)
$2.790171969$
$7.027708105$
4.088657842
\( -\frac{15625}{28} \)
\( \bigl[a\) , \( 0\) , \( a\) , \( -1\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}$
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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.
