Elliptic curves in class 50700.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 50700.3-b contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
50700.3-b1
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -203 a + 108\) , \( 2295 a - 3379\bigr] \)
|
50700.3-b2
| \( \bigl[a\) , \( -a\) , \( 1\) , \( 22 a - 12\) , \( -81 a + 119\bigr] \)
|
50700.3-b3
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -6803 a + 3628\) , \( 19575 a - 28819\bigr] \)
|
50700.3-b4
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -1028 a + 548\) , \( 6975 a - 10269\bigr] \)
|
50700.3-b5
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -278 a + 148\) , \( -945 a + 1391\bigr] \)
|
50700.3-b6
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -5003 a + 2668\) , \( 85239 a - 125491\bigr] \)
|
50700.3-b7
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -4328 a + 2308\) , \( -67041 a + 98699\bigr] \)
|
50700.3-b8
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -80003 a + 42668\) , \( 5413239 a - 7969491\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)