Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 36.1-b over \(\Q(\sqrt{301}) \)
Isogeny class 36.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
36.1-b1 | \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 39653299 a - 363805944\) , \( -393736994700 a + 3612409272145\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)