Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 144.2-b over \(\Q(\sqrt{19}) \)
Isogeny class 144.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
144.2-b1 | \( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( -31 a - 133\) , \( -203 a - 889\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)