Elliptic curves in class 21.1-a over 3.3.761.1
Isogeny class 21.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 21.1-a1
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( 8120 a^{2} - 9522 a - 47094\) , \( -656376 a^{2} + 769575 a + 3805513\bigr] \)
|
| 21.1-a2
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( 490 a^{2} - 632 a - 2944\) , \( -9956 a^{2} + 11369 a + 57143\bigr] \)
|
| 21.1-a3
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( 505 a^{2} - 597 a - 2939\) , \( -9858 a^{2} + 11554 a + 57146\bigr] \)
|
| 21.1-a4
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( 35 a^{2} - 37 a - 219\) , \( -48 a^{2} + 62 a + 248\bigr] \)
|
| 21.1-a5
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( 30 a^{2} - 37 a - 179\) , \( -129 a^{2} + 150 a + 745\bigr] \)
|
| 21.1-a6
| \( \bigl[a + 1\) , \( -a^{2} + 3\) , \( a^{2} - 4\) , \( -2 a - 4\) , \( -2 a^{2} + a + 9\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)
