Base field \(\Q(\sqrt{233}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 58 \); class number \(1\).
Elliptic curves in class 13.2-a over \(\Q(\sqrt{233}) \)
Isogeny class 13.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
13.2-a1 | \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 55 a - 404\) , \( 657 a - 5225\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)