Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 23.2-b over \(\Q(\sqrt{77}) \)
Isogeny class 23.2-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 23.2-b1 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 2 a + 9\) , \( 0\bigr] \) |
| 23.2-b2 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -8 a - 36\) , \( -73 a - 294\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
