Base field \(\Q(\sqrt{38}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).
Elliptic curves in class 19.1-f over \(\Q(\sqrt{38}) \)
Isogeny class 19.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
19.1-f1 | \( \bigl[a\) , \( 1\) , \( 1\) , \( 16 a - 65\) , \( 149 a - 876\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)