![Copy content]()
sage:E = EllipticCurve("bg1")
E.isogeny_class()
![Copy content]()
sage:E.rank()
The elliptic curve 198198.bg1 has
rank \(0\).
| |
| Bad L-factors: |
| Prime |
L-Factor |
| \(2\) | \(1 + T\) |
| \(3\) | \(1\) |
| \(7\) | \(1 + T\) |
| \(11\) | \(1\) |
| \(13\) | \(1 - T\) |
|
| |
| Good L-factors: |
| Prime |
L-Factor |
Isogeny Class over \(\mathbb{F}_p\) |
| \(5\) |
\( 1 + 5 T^{2}\) |
1.5.a
|
| \(17\) |
\( 1 + 4 T + 17 T^{2}\) |
1.17.e
|
| \(19\) |
\( 1 + 2 T + 19 T^{2}\) |
1.19.c
|
| \(23\) |
\( 1 + 5 T + 23 T^{2}\) |
1.23.f
|
| \(29\) |
\( 1 - 4 T + 29 T^{2}\) |
1.29.ae
|
| $\cdots$ | $\cdots$ | $\cdots$ |
|
| |
| See L-function page for more information |
The elliptic curves in class 198198.bg do not have complex multiplication.
![Copy content]()
sage:E.q_eigenform(10)
Elliptic curves in class 198198.bg
![Copy content]()
sage:E.isogeny_class().curves
