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
196.1-e2
196.1-e
$6$
$18$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.52429$
$(a-4), (a+3), (2a+7), (-2a+9)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$9$
\( 2^{2} \)
$1$
$7.027708105$
8.377584104
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( -a\) , \( a\) , \( -6292 a - 20600\) , \( -1059817 a - 3470814\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-6292a-20600\right){x}-1059817a-3470814$
196.1-h2
196.1-h
$6$
$18$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{4} \cdot 7^{2} \)
$2.52429$
$(a-4), (a+3), (2a+7), (-2a+9)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \)
$1$
$35.33144352$
0.519973779
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}$
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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.