Elliptic curves in class 27104.13-c over \(\Q(\sqrt{-7}) \)
Isogeny class 27104.13-c contains
12 curves linked by isogenies of
degrees dividing 36.
| Curve label |
Weierstrass Coefficients |
| 27104.13-c1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 2217 a - 8014\) , \( 107002 a - 256732\bigr] \)
|
| 27104.13-c2
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 262 a + 547\) , \( 5209 a - 7769\bigr] \)
|
| 27104.13-c3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -550 a + 499\) , \( 1911 a - 8645\bigr] \)
|
| 27104.13-c4
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -15 a + 54\) , \( 86 a + 38\bigr] \)
|
| 27104.13-c5
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -13 a + 52\) , \( -66 a - 16\bigr] \)
|
| 27104.13-c6
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 7 a - 24\) , \( -38 a + 100\bigr] \)
|
| 27104.13-c7
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -58 a + 211\) , \( 777 a - 1953\bigr] \)
|
| 27104.13-c8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -903 a - 1198\) , \( 23634 a - 40428\bigr] \)
|
| 27104.13-c9
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 1525 a - 1046\) , \( 11576 a - 46864\bigr] \)
|
| 27104.13-c10
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 462 a - 1669\) , \( 8257 a - 19465\bigr] \)
|
| 27104.13-c11
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 137 a - 494\) , \( -1668 a + 4206\bigr] \)
|
| 27104.13-c12
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 35497 a - 128334\) , \( 6857722 a - 16580828\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 6 & 6 & 18 & 18 & 9 & 3 & 2 & 2 & 6 & 18 & 2 \\
6 & 1 & 4 & 12 & 3 & 6 & 2 & 3 & 12 & 4 & 12 & 12 \\
6 & 4 & 1 & 3 & 12 & 6 & 2 & 12 & 3 & 4 & 12 & 12 \\
18 & 12 & 3 & 1 & 4 & 2 & 6 & 36 & 9 & 12 & 4 & 36 \\
18 & 3 & 12 & 4 & 1 & 2 & 6 & 9 & 36 & 12 & 4 & 36 \\
9 & 6 & 6 & 2 & 2 & 1 & 3 & 18 & 18 & 6 & 2 & 18 \\
3 & 2 & 2 & 6 & 6 & 3 & 1 & 6 & 6 & 2 & 6 & 6 \\
2 & 3 & 12 & 36 & 9 & 18 & 6 & 1 & 4 & 12 & 36 & 4 \\
2 & 12 & 3 & 9 & 36 & 18 & 6 & 4 & 1 & 12 & 36 & 4 \\
6 & 4 & 4 & 12 & 12 & 6 & 2 & 12 & 12 & 1 & 3 & 3 \\
18 & 12 & 12 & 4 & 4 & 2 & 6 & 36 & 36 & 3 & 1 & 9 \\
2 & 12 & 12 & 36 & 36 & 18 & 6 & 4 & 4 & 3 & 9 & 1
\end{array}\right)\)
