Elliptic curves in class 14400.7-d over \(\Q(\sqrt{-7}) \)
Isogeny class 14400.7-d contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 14400.7-d1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 552 a - 772\) , \( 14187 a - 10009\bigr] \)
|
| 14400.7-d2
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 2 a - 2\) , \( -3 a + 1\bigr] \)
|
| 14400.7-d3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -173 a + 243\) , \( 718 a - 202\bigr] \)
|
| 14400.7-d4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 52 a - 72\) , \( 97 a - 139\bigr] \)
|
| 14400.7-d5
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 27 a - 37\) , \( -72 a + 8\bigr] \)
|
| 14400.7-d6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 677 a - 947\) , \( 10272 a - 7664\bigr] \)
|
| 14400.7-d7
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 402 a - 562\) , \( -4677 a + 2423\bigr] \)
|
| 14400.7-d8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 10802 a - 15122\) , \( 657057 a - 441419\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
