Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-441.1-a
Conductor 441.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 441.1-a over \(\Q(\sqrt{-7}) \)

Isogeny class 441.1-a contains 2 curves linked by isogenies of degree 13.

Curve label Weierstrass Coefficients
441.1-a1 \( \bigl[0\) , \( -1\) , \( 1\) , \( -912\) , \( 10919\bigr] \)
441.1-a2 \( \bigl[0\) , \( -1\) , \( 1\) , \( -2\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph