Elliptic curves in class 28224.7-d over \(\Q(\sqrt{-7}) \)
Isogeny class 28224.7-d contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 28224.7-d1
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1190 a + 1665\) , \( -7119 a - 84202\bigr] \)
|
| 28224.7-d2
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 35 a - 50\) , \( -14 a - 69\bigr] \)
|
| 28224.7-d3
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -140 a + 195\) , \( 21 a - 118\bigr] \)
|
| 28224.7-d4
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 86 a + 58\) , \( 274 a - 858\bigr] \)
|
| 28224.7-d5
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1365 a + 1910\) , \( 3696 a + 38641\bigr] \)
|
| 28224.7-d6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -42 a - 122\) , \( -276 a - 520\bigr] \)
|
| 28224.7-d7
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1715 a + 2400\) , \( -4074 a - 50833\bigr] \)
|
| 28224.7-d8
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -27440 a + 38415\) , \( -287049 a - 3342604\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 16 & 8 & 16 & 2 & 4 \\
8 & 1 & 2 & 2 & 4 & 2 & 4 & 8 \\
4 & 2 & 1 & 4 & 2 & 4 & 2 & 4 \\
16 & 2 & 4 & 1 & 8 & 4 & 8 & 16 \\
8 & 4 & 2 & 8 & 1 & 8 & 4 & 8 \\
16 & 2 & 4 & 4 & 8 & 1 & 8 & 16 \\
2 & 4 & 2 & 8 & 4 & 8 & 1 & 2 \\
4 & 8 & 4 & 16 & 8 & 16 & 2 & 1
\end{array}\right)\)
