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Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
Elliptic curves in class 3025.2-e over \(\Q(\sqrt{5}) \)
Isogeny class 3025.2-e contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 3025.2-e1
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi\) , \( 12 \phi - 25\) , \( -34 \phi + 12\bigr] \)
|
| 3025.2-e2
| \( \bigl[\phi + 1\) , \( \phi\) , \( \phi\) , \( 238 \phi - 87\) , \( 9419 \phi + 4486\bigr] \)
|
| 3025.2-e3
| \( \bigl[\phi + 1\) , \( \phi\) , \( \phi\) , \( -637 \phi - 1337\) , \( -1816 \phi + 10216\bigr] \)
|
| 3025.2-e4
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi\) , \( -2738 \phi + 800\) , \( 26641 \phi - 104488\bigr] \)
|
| 3025.2-e5
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi\) , \( 137 \phi - 1575\) , \( 17891 \phi - 11113\bigr] \)
|
| 3025.2-e6
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi\) , \( 87 \phi - 350\) , \( -2044 \phi + 2067\bigr] \)
|
| 3025.2-e7
| \( \bigl[\phi\) , \( \phi - 1\) , \( \phi\) , \( -6588 \phi - 10750\) , \( 450281 \phi + 468042\bigr] \)
|
| 3025.2-e8
| \( \bigl[1\) , \( -\phi\) , \( 1\) , \( 651 \phi - 1539\) , \( -41894 \phi + 63886\bigr] \)
|
