Elliptic curves in class 75.1-a over \(\Q(\sqrt{57}) \)
Isogeny class 75.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 75.1-a1
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -1329051 a - 4352529\) , \( 3040012667 a + 9955789822\bigr] \)
|
| 75.1-a2
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -251 a - 819\) , \( -680263 a - 2227808\bigr] \)
|
| 75.1-a3
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( 422549 a + 1383816\) , \( 155447492 a + 509077665\bigr] \)
|
| 75.1-a4
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -121051 a - 396429\) , \( 20377967 a + 66736152\bigr] \)
|
| 75.1-a5
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -60651 a - 198624\) , \( -15687988 a - 51376865\bigr] \)
|
| 75.1-a6
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -1631051 a - 5341554\) , \( 2198868842 a + 7201113427\bigr] \)
|
| 75.1-a7
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -966651 a - 3165699\) , \( -1006909063 a - 3297543830\bigr] \)
|
| 75.1-a8
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -26093051 a - 85452579\) , \( 140914623017 a + 461483725132\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
