Elliptic curves in class 49.1-a over 4.4.725.1
Isogeny class 49.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 49.1-a1
| \( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( -a^{2} + 2 a\) , \( 1\) , \( 473 a^{3} - 148 a^{2} - 1509 a - 633\) , \( 7527 a^{3} - 2032 a^{2} - 24084 a - 10214\bigr] \)
|
| 49.1-a2
| \( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( -a^{2} + 2 a\) , \( 1\) , \( 568 a^{3} - 388 a^{2} - 1459 a - 558\) , \( 8695 a^{3} - 4402 a^{2} - 24476 a - 9732\bigr] \)
|
| 49.1-a3
| \( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( -a^{2} + 2 a\) , \( 1\) , \( 3 a^{3} + 2 a^{2} - 14 a - 8\) , \( -5 a^{3} + 18 a + 8\bigr] \)
|
| 49.1-a4
| \( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( -a^{2} + 2 a\) , \( 1\) , \( -7 a^{3} + 7 a^{2} + 16 a - 3\) , \( -25 a^{3} + 2 a^{2} + 84 a + 46\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
