Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 121.1-d over \(\Q(\sqrt{77}) \)
Isogeny class 121.1-d contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 121.1-d1 | \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 275 a - 1300\) , \( -4978 a + 24390\bigr] \) |
| 121.1-d2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
