Elliptic curves in class 19.1-f over 4.4.8069.1
Isogeny class 19.1-f contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 19.1-f1
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( 14 a^{3} + 5 a^{2} - 64 a - 10\) , \( -18 a^{3} - 2 a^{2} + 88 a + 12\bigr] \)
|
| 19.1-f2
| \( \bigl[a^{3} + a^{2} - 4 a - 1\) , \( -a^{3} - a^{2} + 4 a + 1\) , \( a^{3} + a^{2} - 4 a - 1\) , \( 2 a^{3} - 18 a^{2} + 24 a - 5\) , \( -14 a^{3} + 48 a^{2} - 41 a + 2\bigr] \)
|
| 19.1-f3
| \( \bigl[a\) , \( -a^{3} + a^{2} + 3 a - 4\) , \( 0\) , \( -565 a^{3} + 38 a^{2} + 2304 a - 1843\) , \( -5666 a^{3} + 20 a^{2} + 23247 a - 18075\bigr] \)
|
| 19.1-f4
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a^{3} + a^{2} - 3 a - 1\) , \( 763 a^{3} - 898 a^{2} - 3634 a + 4396\) , \( -17404 a^{3} + 20349 a^{2} + 83667 a - 101492\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
