Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 4 & 2 & 2 & 2 & 4 & 4 \\
4 & 1 & 16 & 8 & 8 & 2 & 16 & 4 \\
4 & 16 & 1 & 8 & 2 & 8 & 4 & 16 \\
2 & 8 & 8 & 1 & 4 & 4 & 8 & 8 \\
2 & 8 & 2 & 4 & 1 & 4 & 2 & 8 \\
2 & 2 & 8 & 4 & 4 & 1 & 8 & 2 \\
4 & 16 & 4 & 8 & 2 & 8 & 1 & 16 \\
4 & 4 & 16 & 8 & 8 & 2 & 16 & 1
\end{array}\right)\)
Elliptic curves in class 19044.4-c over \(\Q(\sqrt{-7}) \)
Isogeny class 19044.4-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 19044.4-c1
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 6 a - 7\) , \( 24 a - 195\bigr] \)
|
| 19044.4-c2
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 7 a + 57\) , \( 75 a - 93\bigr] \)
|
| 19044.4-c3
| \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -29 a - 37\) , \( -55 a - 21\bigr] \)
|
| 19044.4-c4
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -314 a + 333\) , \( 564 a - 4075\bigr] \)
|
| 19044.4-c5
| \( \bigl[1\) , \( -a\) , \( a\) , \( 62 a - 133\) , \( 394 a - 449\bigr] \)
|
| 19044.4-c6
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 99 a - 39\) , \( -201 a - 401\bigr] \)
|
| 19044.4-c7
| \( \bigl[1\) , \( -a\) , \( a\) , \( 992 a - 2113\) , \( 24058 a - 30353\bigr] \)
|
| 19044.4-c8
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 1569 a - 609\) , \( -15945 a - 21761\bigr] \)
|
