Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 20.1-c over \(\Q(\sqrt{301}) \)
Isogeny class 20.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 20.1-c1 | \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 20 a + 94\) , \( 80 a + 360\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
