Base field \(\Q(\sqrt{26}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).
Elliptic curves in class 16.1-f over \(\Q(\sqrt{26}) \)
Isogeny class 16.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.1-f1 | \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 3 a + 22\) , \( 6 a + 13\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)