Properties

Base field \(\Q(\sqrt{-163}) \)
Label 2.0.163.1-604.1-a
Conductor 604.1
Rank \( 2 \)

Related objects

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Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).

Elliptic curves in class 604.1-a over \(\Q(\sqrt{-163}) \)

Isogeny class 604.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
604.1-a1 \( \bigl[1\) , \( 1\) , \( a\) , \( a - 2\) , \( 2 a + 16\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph