Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 144.3-r over \(\Q(\sqrt{57}) \)
Isogeny class 144.3-r contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
144.3-r1 | \( \bigl[a\) , \( a\) , \( 0\) , \( -4161 a + 17814\) , \( 48435 a - 207030\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)