Elliptic curves in class 3751.3-a over \(\Q(\sqrt{5}) \)
Isogeny class 3751.3-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 3751.3-a1
| \( \bigl[\phi + 1\) , \( -\phi + 1\) , \( 0\) , \( -167 \phi - 500\) , \( -5143 \phi - 565\bigr] \)
|
| 3751.3-a2
| \( \bigl[1\) , \( \phi + 1\) , \( 0\) , \( 175 \phi - 76\) , \( -3463 \phi - 3142\bigr] \)
|
| 3751.3-a3
| \( \bigl[\phi + 1\) , \( -\phi + 1\) , \( 0\) , \( -2 \phi - 5\) , \( 5 \phi - 4\bigr] \)
|
| 3751.3-a4
| \( \bigl[\phi + 1\) , \( -\phi + 1\) , \( 0\) , \( 13 \phi - 70\) , \( 75 \phi - 267\bigr] \)
|
| 3751.3-a5
| \( \bigl[\phi\) , \( \phi\) , \( 1\) , \( 204 \phi - 443\) , \( 1635 \phi - 3199\bigr] \)
|
| 3751.3-a6
| \( \bigl[\phi\) , \( \phi\) , \( 1\) , \( -1321 \phi + 317\) , \( -2669 \phi - 26979\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
