Elliptic curves in class 600.1-p over \(\Q(\sqrt{6}) \)
Isogeny class 600.1-p contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 600.1-p1
| \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -15950 a - 39200\) , \( -1756612 a - 4303380\bigr] \)
|
| 600.1-p2
| \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -400 a - 980\) , \( -59400 a - 145500\bigr] \)
|
| 600.1-p3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -400 a + 980\) , \( -1980 a + 4850\bigr] \)
|
| 600.1-p4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 100 a - 245\) , \( 0\bigr] \)
|
| 600.1-p5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1000 a - 2450\) , \( 28512 a - 69840\bigr] \)
|
| 600.1-p6
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -15\) , \( 18\bigr] \)
|
| 600.1-p7
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 16000 a - 39200\) , \( 1751112 a - 4289340\bigr] \)
|
| 600.1-p8
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 15950 a - 39200\) , \( 1756612 a - 4303380\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
