Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-5000.3-c
Conductor 5000.3
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 5000.3-c over \(\Q(\sqrt{-1}) \)

Isogeny class 5000.3-c contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
5000.3-c1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -83\) , \( 88\bigr] \)
5000.3-c2 \( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( -i + 177\) , \( -927 i\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph