Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 25.1-a over \(\Q(\sqrt{301}) \)
Isogeny class 25.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-a1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -1311 a - 10717\) , \( -130778 a - 1069068\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)