Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-900.2-u
Conductor 900.2
Rank \( 1 \)

Related objects

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 900.2-u over \(\Q(\sqrt{21}) \)

Isogeny class 900.2-u contains only one elliptic curve.

Curve label Weierstrass Coefficients
900.2-u1 \( \bigl[a\) , \( a\) , \( a\) , \( 10 a - 25\) , \( 29 a - 80\bigr] \)