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sage:E = EllipticCurve("m1")
E.isogeny_class()
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sage:E.rank()
The elliptic curve 51376m1 has
rank \(2\).
| |
| Bad L-factors: |
| Prime |
L-Factor |
| \(2\) | \(1\) |
| \(13\) | \(1\) |
| \(19\) | \(1 - T\) |
|
| |
| Good L-factors: |
| Prime |
L-Factor |
Isogeny Class over \(\mathbb{F}_p\) |
| \(3\) |
\( 1 + 3 T^{2}\) |
1.3.a
|
| \(5\) |
\( 1 + 2 T + 5 T^{2}\) |
1.5.c
|
| \(7\) |
\( 1 + 2 T + 7 T^{2}\) |
1.7.c
|
| \(11\) |
\( 1 + 2 T + 11 T^{2}\) |
1.11.c
|
| \(17\) |
\( 1 + 7 T + 17 T^{2}\) |
1.17.h
|
| \(23\) |
\( 1 - 5 T + 23 T^{2}\) |
1.23.af
|
| \(29\) |
\( 1 - 2 T + 29 T^{2}\) |
1.29.ac
|
| $\cdots$ | $\cdots$ | $\cdots$ |
|
| |
| See L-function page for more information |
The elliptic curves in class 51376m do not have complex multiplication.
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sage:E.q_eigenform(10)
Elliptic curves in class 51376m
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sage:E.isogeny_class().curves
