Elliptic curves in class 79.1-a over 4.4.725.1
Isogeny class 79.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 79.1-a1
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 3 a\) , \( -124 a^{3} + 83 a^{2} + 217 a - 168\) , \( 39 a^{3} - 1056 a^{2} - 710 a + 1075\bigr] \)
|
| 79.1-a2
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 3 a\) , \( 36 a^{3} + 3 a^{2} - 133 a - 98\) , \( 199 a^{3} - 14 a^{2} - 692 a - 419\bigr] \)
|
| 79.1-a3
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 3 a\) , \( -4 a^{3} + 3 a^{2} + 2 a - 13\) , \( -3 a^{3} - 13 a^{2} - 9 a + 4\bigr] \)
|
| 79.1-a4
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 3 a\) , \( a^{3} - 2 a^{2} - 3 a + 2\) , \( a^{3} - 2 a^{2} - 3 a + 2\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
