Elliptic curves in class 2025.1-b over \(\Q(\sqrt{5}) \)
Isogeny class 2025.1-b contains
10 curves linked by isogenies of
degrees dividing 32.
| Curve label |
Weierstrass Coefficients |
| 2025.1-b1
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( 151875 \phi - 500175\) , \( 56696050 \phi - 141391500\bigr] \)
|
| 2025.1-b2
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -4950 \phi - 4950\) , \( -455300 \phi - 341475\bigr] \)
|
| 2025.1-b3
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( 0\) , \( 100 \phi + 75\bigr] \)
|
| 2025.1-b4
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( 1575 \phi + 1575\) , \( -21320 \phi - 15990\bigr] \)
|
| 2025.1-b5
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -450 \phi - 450\) , \( -3500 \phi - 2625\bigr] \)
|
| 2025.1-b6
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -225 \phi - 225\) , \( 2080 \phi + 1560\bigr] \)
|
| 2025.1-b7
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -6075 \phi - 6075\) , \( -332000 \phi - 249000\bigr] \)
|
| 2025.1-b8
| \( \bigl[\phi\) , \( -\phi - 1\) , \( \phi\) , \( 3601 \phi - 7202\) , \( -148781 \phi + 261266\bigr] \)
|
| 2025.1-b9
| \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -97200 \phi - 97200\) , \( -20962700 \phi - 15722025\bigr] \)
|
| 2025.1-b10
| \( \bigl[\phi\) , \( -\phi - 1\) , \( \phi\) , \( -151874 \phi - 348302\) , \( -56544176 \phi - 84347149\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 8 & 32 & 16 & 8 & 16 & 4 & 32 & 2 & 4 \\
8 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 & 8 \\
32 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 & 32 \\
16 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 & 16 \\
8 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 & 8 \\
16 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 & 16 \\
4 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 & 4 \\
32 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 & 32 \\
2 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1 & 2 \\
4 & 8 & 32 & 16 & 8 & 16 & 4 & 32 & 2 & 1
\end{array}\right)\)
