Elliptic curves in class 196.1-e over \(\Q(\sqrt{57}) \)
Isogeny class 196.1-e contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 196.1-e1
| \( \bigl[1\) , \( -a\) , \( a\) , \( -2059892 a - 6745970\) , \( 3138470553 a + 10278231250\bigr] \)
|
| 196.1-e2
| \( \bigl[1\) , \( -a\) , \( a\) , \( -6292 a - 20600\) , \( -1059817 a - 3470814\bigr] \)
|
| 196.1-e3
| \( \bigl[1\) , \( -a\) , \( a\) , \( 54108 a + 177205\) , \( 22267918 a + 72925587\bigr] \)
|
| 196.1-e4
| \( \bigl[1\) , \( -a\) , \( a\) , \( -429092 a - 1405235\) , \( 244235478 a + 799850971\bigr] \)
|
| 196.1-e5
| \( \bigl[1\) , \( -a\) , \( a\) , \( -127092 a - 416210\) , \( -47715287 a - 156263616\bigr] \)
|
| 196.1-e6
| \( \bigl[1\) , \( -a\) , \( a\) , \( -32984692 a - 108022130\) , \( 200392463513 a + 656268729042\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)
