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-a1
196.1-a
$6$
$18$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{36} \cdot 7^{2} \)
$0.74763$
$(2), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2 \cdot 3^{2} \)
$1$
$0.436190660$
0.877816771
\( -\frac{548347731625}{1835008} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$
4900.1-d1
4900.1-d
$6$
$18$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
4900.1
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 2^{36} \cdot 5^{6} \cdot 7^{2} \)
$1.67175$
$(-2a+1), (2), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$1$
$3.142886610$
1.405541621
\( -\frac{548347731625}{1835008} \)
\( \bigl[\phi\) , \( -1\) , \( 1\) , \( 852 \phi - 1705\) , \( -17475 \phi + 30581\bigr] \)
${y}^2+\phi{x}{y}+{y}={x}^{3}-{x}^{2}+\left(852\phi-1705\right){x}-17475\phi+30581$
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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.