Elliptic curves in class 192.1-m over \(\Q(\sqrt{57}) \)
Isogeny class 192.1-m contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 192.1-m1
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 189253 a + 619794\) , \( 637681788 a + 2088355064\bigr] \)
|
| 192.1-m2
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 8053 a + 26379\) , \( -937017 a - 3068656\bigr] \)
|
| 192.1-m3
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -52347 a - 171426\) , \( -9515232 a - 31161600\bigr] \)
|
| 192.1-m4
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -293947 a - 962646\) , \( 160466628 a + 525514920\bigr] \)
|
| 192.1-m5
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -777147 a - 2545086\) , \( -725337972 a - 2375421816\bigr] \)
|
| 192.1-m6
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -4642747 a - 15204606\) , \( 10574750028 a + 34631430936\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
