Elliptic curves in class 3600.1-p over \(\Q(\sqrt{3}) \)
Isogeny class 3600.1-p contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
3600.1-p1
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 3373 a - 5846\) , \( 1203326 a - 2084223\bigr] \)
|
3600.1-p2
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -3347 a + 5794\) , \( -28024 a + 48537\bigr] \)
|
3600.1-p3
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 853 a - 1481\) , \( -3169 a + 5487\bigr] \)
|
3600.1-p4
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 8413 a - 14576\) , \( 552248 a - 956523\bigr] \)
|
3600.1-p5
| \( \bigl[0\) , \( a\) , \( 0\) , \( 184 a - 321\) , \( -1907 a + 3299\bigr] \)
|
3600.1-p6
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 134413 a - 232826\) , \( 35343098 a - 61216023\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)