Elliptic curves in class 50700.1-b over \(\Q(\sqrt{-3}) \)
Isogeny class 50700.1-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 50700.1-b1
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 202 a - 95\) , \( -2295 a - 1084\bigr] \)
|
| 50700.1-b2
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -23 a + 10\) , \( 81 a + 38\bigr] \)
|
| 50700.1-b3
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 6802 a - 3175\) , \( -19575 a - 9244\bigr] \)
|
| 50700.1-b4
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 1027 a - 480\) , \( -6975 a - 3294\bigr] \)
|
| 50700.1-b5
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 277 a - 130\) , \( 945 a + 446\bigr] \)
|
| 50700.1-b6
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 5002 a - 2335\) , \( -85239 a - 40252\bigr] \)
|
| 50700.1-b7
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 4327 a - 2020\) , \( 67041 a + 31658\bigr] \)
|
| 50700.1-b8
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 80002 a - 37335\) , \( -5413239 a - 2556252\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
