Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 17.1-b over \(\Q(\sqrt{77}) \)
Isogeny class 17.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 17.1-b1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -25 a + 122\) , \( -2451 a + 11979\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
