Elliptic curves in class 432.2-m over \(\Q(\sqrt{7}) \)
Isogeny class 432.2-m contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 432.2-m1
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 5611 a - 14856\) , \( -372909 a + 986611\bigr] \)
|
| 432.2-m2
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -9 a + 19\) , \( 56 a - 151\bigr] \)
|
| 432.2-m3
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 22751 a - 60196\) , \( 3035951 a - 8032369\bigr] \)
|
| 432.2-m4
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 1421 a - 3766\) , \( 47321 a - 125203\bigr] \)
|
| 432.2-m5
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 91 a - 246\) , \( 681 a - 1805\bigr] \)
|
| 432.2-m6
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 1371 a - 3656\) , \( 50531 a - 133669\bigr] \)
|
| 432.2-m7
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 361 a - 966\) , \( -5439 a + 14377\bigr] \)
|
| 432.2-m8
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -569 a + 1404\) , \( -28209 a + 74191\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
