Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-847.1-b
Conductor 847.1
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 847.1-b over \(\Q(\sqrt{21}) \)

Isogeny class 847.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
847.1-b1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 2\) , \( 0\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph