![Copy content]()
sage:E = EllipticCurve([0, -1, 0, -18738635049, 987339457820637])
E.isogeny_class()
![Copy content]()
sage:E.rank()
The elliptic curve 28392.r1 has
rank \(0\).
| |
| Bad L-factors: |
| Prime |
L-Factor |
| \(2\) | \(1\) |
| \(3\) | \(1 + T\) |
| \(7\) | \(1 + T\) |
| \(13\) | \(1\) |
|
| |
| Good L-factors: |
| Prime |
L-Factor |
Isogeny Class over \(\mathbb{F}_p\) |
| \(5\) |
\( 1 - 3 T + 5 T^{2}\) |
1.5.ad
|
| \(11\) |
\( 1 + 6 T + 11 T^{2}\) |
1.11.g
|
| \(17\) |
\( 1 + 8 T + 17 T^{2}\) |
1.17.i
|
| \(19\) |
\( 1 - T + 19 T^{2}\) |
1.19.ab
|
| \(23\) |
\( 1 - T + 23 T^{2}\) |
1.23.ab
|
| \(29\) |
\( 1 + 5 T + 29 T^{2}\) |
1.29.f
|
| $\cdots$ | $\cdots$ | $\cdots$ |
|
| |
| See L-function page for more information |
The elliptic curves in class 28392.r do not have complex multiplication.
![Copy content]()
sage:E.q_eigenform(10)
![Copy content]()
sage:E.isogeny_graph().plot(edge_labels=True)
Elliptic curves in class 28392.r
![Copy content]()
sage:E.isogeny_class().curves
