Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-21609.1-c
Conductor 21609.1
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 21609.1-c over \(\Q(\sqrt{-1}) \)

Isogeny class 21609.1-c contains 2 curves linked by isogenies of degree 13.

Curve label Weierstrass Coefficients
21609.1-c1 \( \bigl[0\) , \( 1\) , \( i\) , \( -912\) , \( -10919\bigr] \)
21609.1-c2 \( \bigl[0\) , \( -1\) , \( 1\) , \( -2\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph