Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 20.2-c over \(\Q(\sqrt{301}) \)
Isogeny class 20.2-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
20.2-c1 | \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 18 a + 151\) , \( 33 a + 271\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)