Elliptic curves in class 3872.15-c over \(\Q(\sqrt{-7}) \)
Isogeny class 3872.15-c contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 3872.15-c1
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -2733 a - 929\) , \( 79475 a - 30689\bigr] \)
|
| 3872.15-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -345 a - 1460\) , \( 37995 a + 23419\bigr] \)
|
| 3872.15-c3
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -28 a - 44\) , \( 44 a - 164\bigr] \)
|
| 3872.15-c4
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 675 a - 68\) , \( -4229 a - 6891\bigr] \)
|
| 3872.15-c5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 60 a - 75\) , \( 185 a - 95\bigr] \)
|
| 3872.15-c6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -505 a + 1100\) , \( 4491 a + 9659\bigr] \)
|
| 3872.15-c7
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -40 a - 123\) , \( -231 a - 437\bigr] \)
|
| 3872.15-c8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 880 a - 1095\) , \( 14465 a - 6903\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 3 & 4 & 6 & 2 & 12 & 12 \\
4 & 1 & 12 & 4 & 6 & 2 & 12 & 3 \\
3 & 12 & 1 & 12 & 2 & 6 & 4 & 4 \\
4 & 4 & 12 & 1 & 6 & 2 & 3 & 12 \\
6 & 6 & 2 & 6 & 1 & 3 & 2 & 2 \\
2 & 2 & 6 & 2 & 3 & 1 & 6 & 6 \\
12 & 12 & 4 & 3 & 2 & 6 & 1 & 4 \\
12 & 3 & 4 & 12 & 2 & 6 & 4 & 1
\end{array}\right)\)
