Base field \(\Q(\sqrt{301}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).
Elliptic curves in class 15.2-c over \(\Q(\sqrt{301}) \)
Isogeny class 15.2-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
15.2-c1 | \( \bigl[a\) , \( a\) , \( a\) , \( 561064 a - 5147318\) , \( 1143855488 a - 10494502248\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)