Elliptic curves in class 3751.5-b over \(\Q(\sqrt{5}) \)
Isogeny class 3751.5-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 3751.5-b1
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi + 1\) , \( -532 \phi - 546\) , \( 9674 \phi + 4939\bigr] \)
|
| 3751.5-b2
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi + 1\) , \( 333 \phi - 486\) , \( -2737 \phi + 5677\bigr] \)
|
| 3751.5-b3
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi + 1\) , \( -7 \phi - 6\) , \( -13 \phi - 5\bigr] \)
|
| 3751.5-b4
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi + 1\) , \( -22 \phi - 56\) , \( 64 \phi + 171\bigr] \)
|
| 3751.5-b5
| \( \bigl[1\) , \( -\phi\) , \( 0\) , \( 47 \phi - 283\) , \( -185 \phi + 1545\bigr] \)
|
| 3751.5-b6
| \( \bigl[1\) , \( -\phi\) , \( 0\) , \( -1763 \phi - 468\) , \( 28979 \phi + 28296\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
