Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 16.1-a over \(\Q(\sqrt{19}) \)
Isogeny class 16.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.1-a1 | \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 6 a + 26\) , \( 8 a + 36\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)