Elliptic curves in class 648.1-m over \(\Q(\sqrt{7}) \)
Isogeny class 648.1-m contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 648.1-m1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -1689 a + 4485\) , \( -450610 a + 1192215\bigr] \)
|
| 648.1-m2
| \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -7\bigr] \)
|
| 648.1-m3
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -466 a - 1234\) , \( -7779 a - 20582\bigr] \)
|
| 648.1-m4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 2631 a - 6945\) , \( -114640 a + 303321\bigr] \)
|
| 648.1-m5
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -6946 a - 18379\) , \( -528879 a - 1399283\bigr] \)
|
| 648.1-m6
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -41506 a - 109819\) , \( 7391211 a + 19555309\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
