Elliptic curves in class 49.2-a over 4.4.17725.1
Isogeny class 49.2-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 49.2-a1
| \( \bigl[a^{3} - 7 a - 7\) , \( -a^{3} + 7 a + 6\) , \( 0\) , \( 658 a^{3} - 2703 a^{2} - 1553 a + 10895\) , \( -20424 a^{3} + 89053 a^{2} + 40801 a - 370274\bigr] \)
|
| 49.2-a2
| \( \bigl[a^{2} - 6\) , \( a^{3} - 8 a - 7\) , \( a\) , \( 3 a^{3} + 15 a^{2} - 43 a - 113\) , \( -14 a^{3} - 22 a^{2} + 151 a + 268\bigr] \)
|
| 49.2-a3
| \( \bigl[a^{2} - 6\) , \( a^{3} - 8 a - 7\) , \( a\) , \( 23 a^{3} - 30 a^{2} - 143 a - 13\) , \( 31 a^{3} - 19 a^{2} - 224 a - 150\bigr] \)
|
| 49.2-a4
| \( \bigl[a^{3} - a^{2} - 7 a\) , \( a^{3} - 2 a^{2} - 7 a + 7\) , \( a^{2} - a - 6\) , \( 316 a^{3} + 444 a^{2} - 2446 a - 4126\) , \( 5945 a^{3} + 7714 a^{2} - 45676 a - 73463\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
