Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-4225.7-CMb
Conductor 4225.7
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 4225.7-CMb over \(\Q(\sqrt{-1}) \)

Isogeny class 4225.7-CMb contains only one elliptic curve.

Curve label Weierstrass Coefficients
4225.7-CMb1 \( \bigl[i + 1\) , \( i\) , \( i\) , \( 30 i - 20\) , \( -10 i - 15\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph