Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 24.1-c over \(\Q(\sqrt{19}) \)
Isogeny class 24.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
24.1-c1 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -52701 a - 229718\) , \( 17439998 a + 76019186\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)