Elliptic curves in class 55.2-c over 4.4.5125.1
Isogeny class 55.2-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 55.2-c1
| \( \bigl[a^{2} - 3\) , \( -a^{3} + a^{2} + 4 a - 1\) , \( 1\) , \( -32 a^{3} + 63 a^{2} + 97 a - 182\) , \( -141 a^{3} + 286 a^{2} + 415 a - 821\bigr] \)
|
| 55.2-c2
| \( \bigl[a^{2} - 3\) , \( -a^{3} + a^{2} + 4 a - 1\) , \( 1\) , \( -2 a^{3} + 3 a^{2} + 7 a - 7\) , \( -2 a^{3} + 2 a^{2} + 7 a - 4\bigr] \)
|
| 55.2-c3
| \( \bigl[a^{3} - a^{2} - 4 a + 1\) , \( a^{3} - 4 a - 5\) , \( a\) , \( -155 a^{3} + 482 a^{2} + 395 a - 1557\) , \( -2048 a^{3} + 6363 a^{2} + 5087 a - 19778\bigr] \)
|
| 55.2-c4
| \( \bigl[a^{3} - a^{2} - 4 a + 1\) , \( a^{3} - 4 a - 5\) , \( a\) , \( 10 a^{3} - 28 a^{2} - 25 a + 88\) , \( -134 a^{3} + 427 a^{2} + 330 a - 1341\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
