Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 3.1-a over \(\Q(\sqrt{301}) \)
Isogeny class 3.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
3.1-a1 | \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -76 a - 398\) , \( 200 a + 2277\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)