Base field \(\Q(\sqrt{38}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).
Elliptic curves in class 19.1-a over \(\Q(\sqrt{38}) \)
Isogeny class 19.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
19.1-a1 | \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 34 a + 219\) , \( 232 a + 1433\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)