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sage:E = EllipticCurve("du1")
E.isogeny_class()
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sage:E.rank()
The elliptic curve 291312du1 has
rank \(1\).
| |
| Bad L-factors: |
| Prime |
L-Factor |
| \(2\) | \(1\) |
| \(3\) | \(1\) |
| \(7\) | \(1 + T\) |
| \(17\) | \(1\) |
|
| |
| Good L-factors: |
| Prime |
L-Factor |
Isogeny Class over \(\mathbb{F}_p\) |
| \(5\) |
\( 1 - T + 5 T^{2}\) |
1.5.ab
|
| \(11\) |
\( 1 - 3 T + 11 T^{2}\) |
1.11.ad
|
| \(13\) |
\( 1 - 4 T + 13 T^{2}\) |
1.13.ae
|
| \(19\) |
\( 1 + 6 T + 19 T^{2}\) |
1.19.g
|
| \(23\) |
\( 1 - 8 T + 23 T^{2}\) |
1.23.ai
|
| \(29\) |
\( 1 + 5 T + 29 T^{2}\) |
1.29.f
|
| $\cdots$ | $\cdots$ | $\cdots$ |
|
| |
| See L-function page for more information |
The elliptic curves in class 291312du do not have complex multiplication.
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sage:E.q_eigenform(10)
Elliptic curves in class 291312du
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sage:E.isogeny_class().curves
