Elliptic curves in class 288.1-c over \(\Q(\sqrt{3}) \)
Isogeny class 288.1-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 288.1-c1
| \( \bigl[0\) , \( a\) , \( 0\) , \( 4063804 a - 7038714\) , \( 5839863922 a - 10114941022\bigr] \)
|
| 288.1-c2
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 381758 a - 661224\) , \( -168866036 a + 292484554\bigr] \)
|
| 288.1-c3
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 23873 a - 41349\) , \( -2630312 a + 4555834\bigr] \)
|
| 288.1-c4
| \( \bigl[0\) , \( a\) , \( 0\) , \( 113682 a - 196902\) , \( -3469554 a + 6009444\bigr] \)
|
| 288.1-c5
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 77 a - 140\) , \( -1664 a + 2879\bigr] \)
|
| 288.1-c6
| \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -1569806 a + 2718984\) , \( -176681708 a + 306021695\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
