Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 144.5-b over \(\Q(\sqrt{57}) \)
Isogeny class 144.5-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
144.5-b1 | \( \bigl[a\) , \( a\) , \( a\) , \( -a - 24\) , \( -11 a - 59\bigr] \) |
144.5-b2 | \( \bigl[a\) , \( a\) , \( a\) , \( -a - 9\) , \( -17 a - 59\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)