Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
Elliptic curves in class 225.1-a over \(\Q(\sqrt{21}) \)
Isogeny class 225.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 225.1-a1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 334 a - 983\) , \( 9901 a - 27378\bigr] \)
|
| 225.1-a2
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 4 a + 7\) , \( a + 12\bigr] \)
|
| 225.1-a3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -101 a + 322\) , \( 547 a - 1437\bigr] \)
|
| 225.1-a4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 34 a - 83\) , \( 61 a - 168\bigr] \)
|
| 225.1-a5
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 19 a - 38\) , \( -53 a + 153\bigr] \)
|
| 225.1-a6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 409 a - 1208\) , \( 7111 a - 19743\bigr] \)
|
| 225.1-a7
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 244 a - 713\) , \( -3383 a + 9198\bigr] \)
|
| 225.1-a8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 6484 a - 19433\) , \( 461521 a - 1272408\bigr] \)
|
