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sage:E = EllipticCurve("a1")
E.isogeny_class()
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sage:E.rank()
The elliptic curve 135.a1 has
rank \(1\).
| |
| Bad L-factors: |
| Prime |
L-Factor |
| \(3\) | \(1\) |
| \(5\) | \(1 + T\) |
|
| |
| Good L-factors: |
| Prime |
L-Factor |
Isogeny Class over \(\mathbb{F}_p\) |
| \(2\) |
\( 1 + 2 T + 2 T^{2}\) |
1.2.c
|
| \(7\) |
\( 1 + 3 T + 7 T^{2}\) |
1.7.d
|
| \(11\) |
\( 1 + 2 T + 11 T^{2}\) |
1.11.c
|
| \(13\) |
\( 1 + 5 T + 13 T^{2}\) |
1.13.f
|
| \(17\) |
\( 1 + 8 T + 17 T^{2}\) |
1.17.i
|
| \(19\) |
\( 1 - T + 19 T^{2}\) |
1.19.ab
|
| \(23\) |
\( 1 - 6 T + 23 T^{2}\) |
1.23.ag
|
| \(29\) |
\( 1 - 2 T + 29 T^{2}\) |
1.29.ac
|
| $\cdots$ | $\cdots$ | $\cdots$ |
|
| |
| See L-function page for more information |
The elliptic curves in class 135.a do not have complex multiplication.
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sage:E.q_eigenform(10)
Elliptic curves in class 135.a
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sage:E.isogeny_class().curves
