Elliptic curves in class 504.1-w over \(\Q(\sqrt{7}) \)
Isogeny class 504.1-w contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
504.1-w1
| \( \bigl[0\) , \( -1\) , \( 0\) , \( -7\) , \( 52\bigr] \)
|
504.1-w2
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 18684 a + 49430\) , \( -236238 a - 625028\bigr] \)
|
504.1-w3
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 4709 a - 12454\) , \( 31216 a - 82586\bigr] \)
|
504.1-w4
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 3029 a - 8009\) , \( -148859 a + 393848\bigr] \)
|
504.1-w5
| \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -18681 a + 49426\) , \( 285664 a - 755804\bigr] \)
|
504.1-w6
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -48386 a - 128020\) , \( 9328140 a + 24679944\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)