Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 9.2-b over \(\Q(\sqrt{19}) \)
Isogeny class 9.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
9.2-b1 | \( \bigl[0\) , \( 0\) , \( a\) , \( -4759 a + 20744\) , \( 231623 a - 1009626\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)