Elliptic curves in class 228.1-i over \(\Q(\sqrt{57}) \)
Isogeny class 228.1-i contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 228.1-i1
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -64169211 a - 210148851\) , \( 603052792193 a + 1974947972293\bigr] \)
|
| 228.1-i2
| \( \bigl[1\) , \( 0\) , \( 1\) , \( 2059 a + 6740\) , \( 281466 a + 921776\bigr] \)
|
| 228.1-i3
| \( \bigl[1\) , \( 0\) , \( 1\) , \( -2059 a + 8799\) , \( -281466 a + 1203242\bigr] \)
|
| 228.1-i4
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -4252411 a - 13926291\) , \( 8325010913 a + 27263721573\bigr] \)
|
| 228.1-i5
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -66102011 a - 216478611\) , \( 568251032033 a + 1860975088741\bigr] \)
|
| 228.1-i6
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -1057628411 a - 3463645491\) , \( 36374182046273 a + 119122435060741\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
