Base field \(\Q(\sqrt{109}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 27 \); class number \(1\).
Elliptic curves in class 9.3-a over \(\Q(\sqrt{109}) \)
Isogeny class 9.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
9.3-a1 | \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 5321 a - 30405\) , \( -482954 a + 2762611\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)