Elliptic curves in class 27.1-b over 4.4.8112.1
Isogeny class 27.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 27.1-b1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} + a^{2} - 3 a - 4\) , \( a\) , \( 117 a^{3} + 97 a^{2} - 500 a - 418\) , \( -1406 a^{3} - 1171 a^{2} + 6047 a + 5047\bigr] \)
|
| 27.1-b2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} + a^{2} - 5 a - 2\) , \( a^{3} + a^{2} - 4 a - 2\) , \( -8 a^{3} - 7 a^{2} + 30 a + 26\) , \( -10 a^{3} - 13 a^{2} + 28 a + 26\bigr] \)
|
| 27.1-b3
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a + 1\) , \( a^{2} - 2\) , \( 5 a^{3} + 5 a^{2} - 18 a - 14\) , \( a^{3} + 2 a^{2} - 1\bigr] \)
|
| 27.1-b4
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} - a^{2} - 5 a + 4\) , \( a^{3} - 3 a\) , \( 2 a^{3} - 9 a\) , \( 0\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
