Base field \(\Q(\sqrt{41}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 10 \); class number \(1\).
Elliptic curves in class 8.1-a over \(\Q(\sqrt{41}) \)
Isogeny class 8.1-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-a1 | \( \bigl[a\) , \( a\) , \( a\) , \( -141 a + 532\) , \( 1652 a - 6105\bigr] \) |
| 8.1-a2 | \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 2 a + 4\) , \( a + 3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
