Elliptic curves in class 147.1-c over \(\Q(\sqrt{57}) \)
Isogeny class 147.1-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 147.1-c1
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 410971 a - 1756865\) , \( -781852853 a + 3342356220\bigr] \)
|
| 147.1-c2
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 11828 a + 38741\) , \( 283917 a + 929805\bigr] \)
|
| 147.1-c3
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -48572 a - 159064\) , \( 2493022 a + 8164441\bigr] \)
|
| 147.1-c4
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -471372 a - 1543699\) , \( -339559003 a - 1112027625\bigr] \)
|
| 147.1-c5
| \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -592172 a - 1939309\) , \( 482038087 a + 1578634831\bigr] \)
|
| 147.1-c6
| \( \bigl[1\) , \( a - 1\) , \( a\) , \( 9470971 a - 40487615\) , \( -30838100363 a + 131830326198\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
