Elliptic curves in class 72.1-a over \(\Q(\sqrt{7}) \)
Isogeny class 72.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 72.1-a1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 38 a - 175\) , \( -227 a + 805\bigr] \)
|
| 72.1-a2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a\) , \( -a\bigr] \)
|
| 72.1-a3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 218 a - 555\) , \( 3073 a - 8255\bigr] \)
|
| 72.1-a4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 8 a - 45\) , \( 55 a - 185\bigr] \)
|
| 72.1-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a - 5\) , \( a - 5\bigr] \)
|
| 72.1-a6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -42 a - 175\) , \( -307 a - 1155\bigr] \)
|
| 72.1-a7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -12 a - 45\) , \( 35 a + 95\bigr] \)
|
| 72.1-a8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -222 a - 555\) , \( 2633 a + 7145\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
