Elliptic curves in class 91875.2-c over \(\Q(\sqrt{-3}) \)
Isogeny class 91875.2-c contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
91875.2-c1
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -3725 a - 8026\) , \( -245000 a - 234525\bigr] \)
|
91875.2-c2
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -850 a + 849\) , \( -26275\bigr] \)
|
91875.2-c3
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( 25 a - 26\) , \( -25\bigr] \)
|
91875.2-c4
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -100 a + 99\) , \( -25\bigr] \)
|
91875.2-c5
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( 8025 a + 3724\) , \( 245000 a - 479525\bigr] \)
|
91875.2-c6
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -975 a + 974\) , \( 12225\bigr] \)
|
91875.2-c7
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -1225 a + 1224\) , \( -15775\bigr] \)
|
91875.2-c8
| \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -19600 a + 19599\) , \( -1044775\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 16 & 8 & 4 & 16 & 4 & 8 \\
2 & 1 & 8 & 4 & 2 & 8 & 2 & 4 \\
16 & 8 & 1 & 2 & 16 & 4 & 4 & 8 \\
8 & 4 & 2 & 1 & 8 & 2 & 2 & 4 \\
4 & 2 & 16 & 8 & 1 & 16 & 4 & 8 \\
16 & 8 & 4 & 2 & 16 & 1 & 4 & 8 \\
4 & 2 & 4 & 2 & 4 & 4 & 1 & 2 \\
8 & 4 & 8 & 4 & 8 & 8 & 2 & 1
\end{array}\right)\)