Base field \(\Q(\sqrt{97}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 24 \); class number \(1\).
Elliptic curves in class 6.4-b over \(\Q(\sqrt{97}) \)
Isogeny class 6.4-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6.4-b1 | \( \bigl[a\) , \( 0\) , \( 1\) , \( 130820946 a - 709628905\) , \( -1808429993272 a + 9809699920770\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
