Elliptic curves in class 55.1-c over 4.4.5125.1
Isogeny class 55.1-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 55.1-c1
| \( \bigl[a^{2} - 4\) , \( -a\) , \( 1\) , \( 32 a^{3} - 33 a^{2} - 128 a - 53\) , \( 141 a^{3} - 137 a^{2} - 564 a - 261\bigr] \)
|
| 55.1-c2
| \( \bigl[a^{2} - 4\) , \( -a\) , \( 1\) , \( 2 a^{3} - 3 a^{2} - 8 a + 2\) , \( 2 a^{3} - 4 a^{2} - 5 a + 3\bigr] \)
|
| 55.1-c3
| \( \bigl[a^{3} - 5 a - 3\) , \( -a^{3} + 6 a + 4\) , \( a^{3} - 4 a - 3\) , \( 149 a^{3} + 15 a^{2} - 859 a - 806\) , \( 2623 a^{3} + 320 a^{2} - 15049 a - 13499\bigr] \)
|
| 55.1-c4
| \( \bigl[a^{3} - 5 a - 3\) , \( -a^{3} + 6 a + 4\) , \( a^{3} - 4 a - 3\) , \( -16 a^{3} + 86 a + 74\) , \( 94 a^{3} + 11 a^{2} - 542 a - 486\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
