Elliptic curves in class 900.1-b over \(\Q(\sqrt{5}) \)
Isogeny class 900.1-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 900.1-b1
| \( \bigl[\phi\) , \( -1\) , \( 1\) , \( 67 \phi - 135\) , \( -1275 \phi + 2231\bigr] \)
|
| 900.1-b2
| \( \bigl[\phi\) , \( -1\) , \( 1\) , \( -8 \phi + 15\) , \( 45 \phi - 79\bigr] \)
|
| 900.1-b3
| \( \bigl[\phi\) , \( -1\) , \( 1\) , \( 2267 \phi - 4535\) , \( -10875 \phi + 19031\bigr] \)
|
| 900.1-b4
| \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -343 \phi - 343\) , \( 3875 \phi + 2906\bigr] \)
|
| 900.1-b5
| \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -93 \phi - 93\) , \( -525 \phi - 394\bigr] \)
|
| 900.1-b6
| \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -1668 \phi - 1668\) , \( 47355 \phi + 35516\bigr] \)
|
| 900.1-b7
| \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -1443 \phi - 1443\) , \( -37245 \phi - 27934\bigr] \)
|
| 900.1-b8
| \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -26668 \phi - 26668\) , \( 3007355 \phi + 2255516\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
