Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 43.1-a over \(\Q(\sqrt{301}) \)
Isogeny class 43.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
43.1-a1 | \( \bigl[0\) , \( -1\) , \( 1\) , \( 9939565 a - 91192286\) , \( 219792219925 a - 2016522358196\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 2\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)