Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 44.1-b over \(\Q(\sqrt{77}) \)
Isogeny class 44.1-b contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 44.1-b1 | \( \bigl[1\) , \( -1\) , \( a\) , \( -10 a - 7\) , \( 13 a + 95\bigr] \) |
| 44.1-b2 | \( \bigl[1\) , \( -1\) , \( a\) , \( -2\) , \( -6\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
