Base field \(\Q(\sqrt{97}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 24 \); class number \(1\).
Elliptic curves in class 8.2-b over \(\Q(\sqrt{97}) \)
Isogeny class 8.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.2-b1 | \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -6316 a + 34269\) , \( 20372429 a - 110508773\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
