Elliptic curves in class 10.1-a over 3.3.1957.1
Isogeny class 10.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 10.1-a1
| \( \bigl[a^{2} - 5\) , \( -a - 1\) , \( 1\) , \( 140 a^{2} - 9 a - 1310\) , \( 2000 a^{2} + 127 a - 18099\bigr] \)
|
| 10.1-a2
| \( \bigl[a^{2} - 5\) , \( -a - 1\) , \( 1\) , \( -5 a^{2} - 29 a - 30\) , \( -30 a^{2} - 123 a - 87\bigr] \)
|
| 10.1-a3
| \( \bigl[a^{2} - 5\) , \( -a - 1\) , \( 1\) , \( -4 a\) , \( -3 a + 1\bigr] \)
|
| 10.1-a4
| \( \bigl[a^{2} - 5\) , \( -a - 1\) , \( 1\) , \( -230 a^{2} - 449 a + 770\) , \( -4360 a^{2} - 8453 a + 14613\bigr] \)
|
| 10.1-a5
| \( \bigl[a^{2} + a - 5\) , \( 1\) , \( a^{2} + a - 5\) , \( -6 a^{2} - 5 a + 40\) , \( -6 a^{2} - 4 a + 43\bigr] \)
|
| 10.1-a6
| \( \bigl[a\) , \( -a^{2} + a + 5\) , \( a^{2} + a - 6\) , \( 11 a^{2} + 2 a - 87\) , \( -25 a^{2} - 12 a + 190\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 4 & 4 & 8 & 8 \\
2 & 1 & 2 & 2 & 4 & 4 \\
4 & 2 & 1 & 4 & 2 & 2 \\
4 & 2 & 4 & 1 & 8 & 8 \\
8 & 4 & 2 & 8 & 1 & 4 \\
8 & 4 & 2 & 8 & 4 & 1
\end{array}\right)\)
