Elliptic curves in class 27.1-d over 3.3.321.1
Isogeny class 27.1-d contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 27.1-d1
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( 336 a^{2} - 162 a - 1637\) , \( -6896 a^{2} + 5884 a + 27269\bigr] \)
|
| 27.1-d2
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -704 a^{2} + 1978 a - 607\) , \( -22394 a^{2} + 60472 a - 13219\bigr] \)
|
| 27.1-d3
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -24 a^{2} + 108 a - 122\) , \( -485 a^{2} + 1066 a + 311\bigr] \)
|
| 27.1-d4
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -4 a^{2} + 8 a + 3\) , \( -10 a^{2} + 20 a + 9\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
