Elliptic curves in class 79.2-a over 4.4.725.1
Isogeny class 79.2-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 79.2-a1
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a^{2} - a + 3\) , \( a^{3} - 3 a + 1\) , \( -195 a^{3} + 234 a^{2} + 421 a - 359\) , \( -1610 a^{3} + 2626 a^{2} + 3852 a - 3624\bigr] \)
|
| 79.2-a2
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a^{2} - a + 3\) , \( a^{3} - 3 a + 1\) , \( -10 a^{3} + 9 a^{2} + 26 a - 19\) , \( -34 a^{3} + 49 a^{2} + 83 a - 74\bigr] \)
|
| 79.2-a3
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a^{2} - a + 3\) , \( a^{3} - 3 a + 1\) , \( -a^{2} + a + 1\) , \( -a^{3} + a^{2} + 3 a - 2\bigr] \)
|
| 79.2-a4
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a^{2} - a + 3\) , \( a^{3} - 3 a + 1\) , \( 15 a^{3} - 56 a^{2} + 31 a + 1\) , \( 90 a^{3} - 276 a^{2} + 114 a + 28\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
