Elliptic curves in class 5625.8-c over \(\Q(\sqrt{-11}) \)
Isogeny class 5625.8-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 5625.8-c1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 9600 a - 13187\) , \( 561300 a - 225481\bigr] \)
|
| 5625.8-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 24475 a - 1937\) , \( -795450 a - 2617606\bigr] \)
|
| 5625.8-c3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 600 a - 812\) , \( 8925 a - 3856\bigr] \)
|
| 5625.8-c4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -25 a - 62\) , \( 425 a + 269\bigr] \)
|
| 5625.8-c5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -5275 a + 7063\) , \( -104950 a - 300856\bigr] \)
|
| 5625.8-c6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 1600 a - 437\) , \( -4950 a - 47731\bigr] \)
|
| 5625.8-c7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -25 a + 63\) , \( 50 a + 144\bigr] \)
|
| 5625.8-c8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -650 a - 1312\) , \( 15425 a + 13394\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 2 & 4 & 8 & 4 & 8 & 8 \\
8 & 1 & 4 & 8 & 4 & 2 & 16 & 16 \\
2 & 4 & 1 & 2 & 4 & 2 & 4 & 4 \\
4 & 8 & 2 & 1 & 8 & 4 & 2 & 2 \\
8 & 4 & 4 & 8 & 1 & 2 & 16 & 16 \\
4 & 2 & 2 & 4 & 2 & 1 & 8 & 8 \\
8 & 16 & 4 & 2 & 16 & 8 & 1 & 4 \\
8 & 16 & 4 & 2 & 16 & 8 & 4 & 1
\end{array}\right)\)
