Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 15.2-a over \(\Q(\sqrt{301}) \)
Isogeny class 15.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
15.2-a1 | \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 249169 a - 2286010\) , \( -197430230 a + 1811358398\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)