Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-21025.5-a
Conductor 21025.5
Rank not recorded

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 21025.5-a over \(\Q(\sqrt{-1}) \)

Isogeny class 21025.5-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
21025.5-a1 \( \bigl[i\) , \( 1\) , \( i\) , \( 3\) , \( -6\bigr] \)
21025.5-a2 \( \bigl[i\) , \( 1\) , \( i\) , \( -2\) , \( -2\bigr] \)
21025.5-a3 \( \bigl[i\) , \( 1\) , \( i\) , \( 45 i + 43\) , \( 76 i - 164\bigr] \)
21025.5-a4 \( \bigl[i\) , \( 1\) , \( i\) , \( -45 i + 43\) , \( -76 i - 164\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 2 & 2 \\ 2 & 1 & 4 & 4 \\ 2 & 4 & 1 & 4 \\ 2 & 4 & 4 & 1 \end{array}\right)\)

Isogeny graph