Elliptic curves in class 144.4-e over \(\Q(\sqrt{57}) \)
Isogeny class 144.4-e contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 144.4-e1
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 35 a - 163\) , \( 281 a - 1208\bigr] \)
|
| 144.4-e2
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 183391 a + 600592\) , \( 22247954 a + 72860208\bigr] \)
|
| 144.4-e3
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -47624 a - 155963\) , \( 2790926 a + 9140052\bigr] \)
|
| 144.4-e4
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -102 a + 423\) , \( -876 a + 3738\bigr] \)
|
| 144.4-e5
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -213 a - 696\) , \( 3120 a + 10218\bigr] \)
|
| 144.4-e6
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -3378 a - 11061\) , \( 205566 a + 673212\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
