Elliptic curves in class 441.1-f over \(\Q(\sqrt{7}) \)
Isogeny class 441.1-f contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 441.1-f1
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -11431 a - 30242\) , \( 3021358 a + 7993761\bigr] \)
|
| 441.1-f2
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -4956 a - 13127\) , \( -2950874 a - 7807241\bigr] \)
|
| 441.1-f3
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( -330 a + 873\) , \( 1537 a - 4068\bigr] \)
|
| 441.1-f4
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 1350 a - 3572\) , \( 7900 a - 20903\bigr] \)
|
| 441.1-f5
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -13111 a - 34687\) , \( -1336023 a - 3534784\bigr] \)
|
| 441.1-f6
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -16471 a - 43577\) , \( 1850335 a + 4895526\bigr] \)
|
| 441.1-f7
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 4955 a - 13127\) , \( -2950874 a + 7807239\bigr] \)
|
| 441.1-f8
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -263431 a - 696992\) , \( 119416672 a + 315946791\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
