Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-448.1-h
Conductor 448.1
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 448.1-h over \(\Q(\sqrt{21}) \)

Isogeny class 448.1-h contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
448.1-h1 \( \bigl[0\) , \( -1\) , \( 0\) , \( 0\) , \( -4\bigr] \)
448.1-h2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -40\) , \( -84\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph