Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-2025.1-k
Conductor 2025.1
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 2025.1-k over \(\Q(\sqrt{21}) \)

Isogeny class 2025.1-k contains only one elliptic curve.

Curve label Weierstrass Coefficients
2025.1-k1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 15 a - 42\) , \( 102 a - 285\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph