Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-5618.2-b
Conductor 5618.2
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 5618.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 5618.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
5618.2-b1 \( \bigl[1\) , \( 1\) , \( 0\) , \( -27\) , \( -67\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph