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-a6
98.1-a
$6$
$18$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{4} \)
$0.97395$
$(a+1), (7)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \cdot 3^{2} \)
$1$
$7.027708105$
2.028724583
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -2732\) , \( 55145\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-2732{x}+55145$
98.1-b6
98.1-b
$6$
$18$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
98.1
\( 2 \cdot 7^{2} \)
\( 2^{18} \cdot 7^{4} \)
$0.97395$
$(a+1), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \)
$3.157002788$
$0.436190660$
0.795043151
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
4802.1-a6
4802.1-a
$6$
$18$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{18} \cdot 7^{16} \)
$2.57682$
$(a+1), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$4$
\( 2^{3} \)
$1$
$1.003958300$
2.318542380
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -133795\) , \( 18781197\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-133795{x}+18781197$
4802.1-b6
4802.1-b
$6$
$18$
\(\Q(\sqrt{3}) \)
$2$
$[2, 0]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{18} \cdot 7^{16} \)
$2.57682$
$(a+1), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \cdot 3^{2} \)
$7.014414334$
$0.062312951$
4.542360682
\( \frac{2251439055699625}{25088} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -133796\) , \( -18914993\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-133796{x}-18914993$
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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.