Base field \(\Q(\sqrt{97}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 24 \); class number \(1\).
Elliptic curves in class 8.1-b over \(\Q(\sqrt{97}) \)
Isogeny class 8.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8.1-b1 | \( \bigl[a\) , \( -a\) , \( a\) , \( 6314 a + 27955\) , \( -20372430 a - 90136343\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)