Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 121.1-e over \(\Q(\sqrt{77}) \)
Isogeny class 121.1-e contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 121.1-e1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \) |
| 121.1-e2 | \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -18 a - 73\) , \( 395 a + 1531\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
