Elliptic curves in class 75.1-j over \(\Q(\sqrt{69}) \)
Isogeny class 75.1-j contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 75.1-j1
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 8252 a - 38399\) , \( -1559120 a + 7255076\bigr] \)
|
| 75.1-j2
| \( \bigl[a\) , \( -a\) , \( a\) , \( -4 a - 5\) , \( -351 a - 1273\bigr] \)
|
| 75.1-j3
| \( \bigl[a\) , \( -a\) , \( a\) , \( 2621 a + 9585\) , \( 80030 a + 292384\bigr] \)
|
| 75.1-j4
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 752 a - 3499\) , \( -10380 a + 48306\bigr] \)
|
| 75.1-j5
| \( \bigl[a\) , \( -a\) , \( a\) , \( -379 a - 1375\) , \( -8090 a - 29546\bigr] \)
|
| 75.1-j6
| \( \bigl[a\) , \( -a\) , \( a\) , \( -10129 a - 36995\) , \( 1127304 a + 4118402\bigr] \)
|
| 75.1-j7
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 6002 a - 27929\) , \( 517294 a - 2407126\bigr] \)
|
| 75.1-j8
| \( \bigl[a\) , \( -a\) , \( a\) , \( -162004 a - 591845\) , \( 72292689 a + 264107747\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
