Elliptic curves in class 252.1-d over \(\Q(\sqrt{7}) \)
Isogeny class 252.1-d contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 252.1-d1
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -113\) , \( -516\bigr] \)
|
| 252.1-d2
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 7\) , \( 0\bigr] \)
|
| 252.1-d3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 340 a - 898\) , \( 1442 a - 3814\bigr] \)
|
| 252.1-d4
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -22114 a - 58534\) , \( -2864400 a - 7578522\bigr] \)
|
| 252.1-d5
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -3064 a - 8104\) , \( 143880 a + 380670\bigr] \)
|
| 252.1-d6
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 3065 a - 8108\) , \( -151988 a + 402123\bigr] \)
|
| 252.1-d7
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -21939 a - 58044\) , \( -2913750 a - 7709058\bigr] \)
|
| 252.1-d8
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 22115 a - 58538\) , \( 2805862 a - 7423719\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 6 & 4 & 12 & 12 & 2 & 4 \\
3 & 1 & 2 & 12 & 4 & 4 & 6 & 12 \\
6 & 2 & 1 & 6 & 2 & 2 & 3 & 6 \\
4 & 12 & 6 & 1 & 3 & 12 & 2 & 4 \\
12 & 4 & 2 & 3 & 1 & 4 & 6 & 12 \\
12 & 4 & 2 & 12 & 4 & 1 & 6 & 3 \\
2 & 6 & 3 & 2 & 6 & 6 & 1 & 2 \\
4 & 12 & 6 & 4 & 12 & 3 & 2 & 1
\end{array}\right)\)
