Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 77.1-h over \(\Q(\sqrt{77}) \)
Isogeny class 77.1-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
77.1-h1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 18 a + 70\) , \( -20 a - 78\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)