Elliptic curves in class 45.1-b over \(\Q(\sqrt{85}) \)
Isogeny class 45.1-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 45.1-b1
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 1215 a - 6254\) , \( 92278 a - 472418\bigr] \)
|
| 45.1-b2
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 5 a + 16\) , \( -12 a + 142\bigr] \)
|
| 45.1-b3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -380 a + 2011\) , \( 5119 a - 25982\bigr] \)
|
| 45.1-b4
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 115 a - 554\) , \( 538 a - 2708\bigr] \)
|
| 45.1-b5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 60 a - 269\) , \( -521 a + 2728\bigr] \)
|
| 45.1-b6
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 1490 a - 7679\) , \( 66213 a - 339158\bigr] \)
|
| 45.1-b7
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 885 a - 4544\) , \( -31676 a + 161848\bigr] \)
|
| 45.1-b8
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 23765 a - 123104\) , \( 4305348 a - 22034198\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
