Elliptic curves in class 27104.15-j over \(\Q(\sqrt{-7}) \)
Isogeny class 27104.15-j contains
12 curves linked by isogenies of
degrees dividing 36.
| Curve label |
Weierstrass Coefficients |
| 27104.15-j1
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 853 a + 6990\) , \( -180013 a + 149453\bigr] \)
|
| 27104.15-j2
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -490 a - 154\) , \( -6468 a + 3356\bigr] \)
|
| 27104.15-j3
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 378 a - 761\) , \( -5545 a + 6905\bigr] \)
|
| 27104.15-j4
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -7 a - 46\) , \( -25 a - 103\bigr] \)
|
| 27104.15-j5
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -5 a - 49\) , \( -13 a + 143\bigr] \)
|
| 27104.15-j6
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 3 a + 20\) , \( 77 a - 49\bigr] \)
|
| 27104.15-j7
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -22 a - 185\) , \( -1443 a + 1039\bigr] \)
|
| 27104.15-j8
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 1425 a + 61\) , \( -32373 a + 13575\bigr] \)
|
| 27104.15-j9
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -1187 a + 1894\) , \( -28915 a + 34039\bigr] \)
|
| 27104.15-j10
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 178 a + 1455\) , \( -13363 a + 11711\bigr] \)
|
| 27104.15-j11
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 53 a + 430\) , \( 3117 a - 2225\bigr] \)
|
| 27104.15-j12
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 13653 a + 111950\) , \( -11730733 a + 9512909\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 6 & 6 & 18 & 18 & 9 & 3 & 2 & 2 & 6 & 18 & 2 \\
6 & 1 & 4 & 12 & 3 & 6 & 2 & 3 & 12 & 4 & 12 & 12 \\
6 & 4 & 1 & 3 & 12 & 6 & 2 & 12 & 3 & 4 & 12 & 12 \\
18 & 12 & 3 & 1 & 4 & 2 & 6 & 36 & 9 & 12 & 4 & 36 \\
18 & 3 & 12 & 4 & 1 & 2 & 6 & 9 & 36 & 12 & 4 & 36 \\
9 & 6 & 6 & 2 & 2 & 1 & 3 & 18 & 18 & 6 & 2 & 18 \\
3 & 2 & 2 & 6 & 6 & 3 & 1 & 6 & 6 & 2 & 6 & 6 \\
2 & 3 & 12 & 36 & 9 & 18 & 6 & 1 & 4 & 12 & 36 & 4 \\
2 & 12 & 3 & 9 & 36 & 18 & 6 & 4 & 1 & 12 & 36 & 4 \\
6 & 4 & 4 & 12 & 12 & 6 & 2 & 12 & 12 & 1 & 3 & 3 \\
18 & 12 & 12 & 4 & 4 & 2 & 6 & 36 & 36 & 3 & 1 & 9 \\
2 & 12 & 12 & 36 & 36 & 18 & 6 & 4 & 4 & 3 & 9 & 1
\end{array}\right)\)
