Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Elliptic curves in class 23.1-b over \(\Q(\sqrt{77}) \)
Isogeny class 23.1-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 23.1-b1 | \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2 a + 11\) , \( 0\bigr] \) |
| 23.1-b2 | \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 8 a - 44\) , \( 73 a - 367\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
