Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-11025.2-c
Conductor 11025.2
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 11025.2-c over \(\Q(\sqrt{-1}) \)

Isogeny class 11025.2-c contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
11025.2-c1 \( \bigl[i\) , \( 0\) , \( i\) , \( 18\) , \( 37\bigr] \)
11025.2-c2 \( \bigl[i\) , \( 0\) , \( i\) , \( -7\) , \( 7\bigr] \)
11025.2-c3 \( \bigl[i\) , \( 0\) , \( i\) , \( -2\) , \( -1\bigr] \)
11025.2-c4 \( \bigl[i\) , \( 0\) , \( i\) , \( -112\) , \( 469\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph