Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-2025.1-CMb
Conductor 2025.1
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 2025.1-CMb over \(\Q(\sqrt{-1}) \)

Isogeny class 2025.1-CMb contains only one elliptic curve.

Curve label Weierstrass Coefficients
2025.1-CMb1 \( \bigl[i + 1\) , \( i\) , \( 1\) , \( -5 i + 1\) , \( i + 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph