Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 57.1-e over \(\Q(\sqrt{57}) \)
Isogeny class 57.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
57.1-e1 | \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -28187 a - 92304\) , \( -5536728 a - 18132329\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)