Elliptic curves in class 1568.5-b over \(\Q(\sqrt{-7}) \)
Isogeny class 1568.5-b contains
12 curves linked by isogenies of
degrees dividing 36.
| Curve label |
Weierstrass Coefficients |
| 1568.5-b1
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 3579 a - 1193\) , \( -55047 a - 79511\bigr] \)
|
| 1568.5-b2
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -201 a - 308\) , \( -2575 a - 1147\bigr] \)
|
| 1568.5-b3
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -269 a + 463\) , \( -1017 a - 3465\bigr] \)
|
| 1568.5-b4
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -24 a + 8\) , \( -44 a + 56\bigr] \)
|
| 1568.5-b5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -26 a + 7\) , \( 43 a - 41\bigr] \)
|
| 1568.5-b6
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 9 a - 3\) , \( 15 a + 23\bigr] \)
|
| 1568.5-b7
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -96 a + 32\) , \( -363 a - 523\bigr] \)
|
| 1568.5-b8
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 394 a + 987\) , \( -12039 a - 9155\bigr] \)
|
| 1568.5-b9
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 606 a - 1322\) , \( -5616 a - 17948\bigr] \)
|
| 1568.5-b10
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 744 a - 248\) , \( -4395 a - 6347\bigr] \)
|
| 1568.5-b11
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 219 a - 73\) , \( 771 a + 1115\bigr] \)
|
| 1568.5-b12
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 57339 a - 19113\) , \( -3474183 a - 5018263\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 6 & 6 & 18 & 18 & 9 & 3 & 2 & 2 & 6 & 18 & 2 \\
6 & 1 & 4 & 12 & 3 & 6 & 2 & 3 & 12 & 4 & 12 & 12 \\
6 & 4 & 1 & 3 & 12 & 6 & 2 & 12 & 3 & 4 & 12 & 12 \\
18 & 12 & 3 & 1 & 4 & 2 & 6 & 36 & 9 & 12 & 4 & 36 \\
18 & 3 & 12 & 4 & 1 & 2 & 6 & 9 & 36 & 12 & 4 & 36 \\
9 & 6 & 6 & 2 & 2 & 1 & 3 & 18 & 18 & 6 & 2 & 18 \\
3 & 2 & 2 & 6 & 6 & 3 & 1 & 6 & 6 & 2 & 6 & 6 \\
2 & 3 & 12 & 36 & 9 & 18 & 6 & 1 & 4 & 12 & 36 & 4 \\
2 & 12 & 3 & 9 & 36 & 18 & 6 & 4 & 1 & 12 & 36 & 4 \\
6 & 4 & 4 & 12 & 12 & 6 & 2 & 12 & 12 & 1 & 3 & 3 \\
18 & 12 & 12 & 4 & 4 & 2 & 6 & 36 & 36 & 3 & 1 & 9 \\
2 & 12 & 12 & 36 & 36 & 18 & 6 & 4 & 4 & 3 & 9 & 1
\end{array}\right)\)
