Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-45000.3-g
Conductor 45000.3
Rank \( 0 \)

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 45000.3-g over \(\Q(\sqrt{-1}) \)

Isogeny class 45000.3-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
45000.3-g1 \( \bigl[0\) , \( i\) , \( i + 1\) , \( -42\) , \( -26 i\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph