Elliptic curves in class 588.1-j over \(\Q(\sqrt{33}) \)
Isogeny class 588.1-j contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 588.1-j1
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -1480 a - 3508\) , \( -114414 a - 271422\bigr] \)
|
| 588.1-j2
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 142040 a + 336962\) , \( -19036524 a - 45159990\bigr] \)
|
| 588.1-j3
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -38280 a - 90808\) , \( -2405434 a - 5706366\bigr] \)
|
| 588.1-j4
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -336360 a - 797938\) , \( 178585016 a + 423653898\bigr] \)
|
| 588.1-j5
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -30920 a - 73348\) , \( -4979294 a - 11812286\bigr] \)
|
| 588.1-j6
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -494600 a - 1173328\) , \( -320376194 a - 760022462\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
