Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-9522.1-b
Conductor 9522.1
Rank \( 1 \)

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 9522.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 9522.1-b contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
9522.1-b1 \( \bigl[i\) , \( 0\) , \( i\) , \( -35\) , \( -82\bigr] \)
9522.1-b2 \( \bigl[i\) , \( 0\) , \( i\) , \( 190\) , \( -190\bigr] \)
9522.1-b3 \( \bigl[i\) , \( 0\) , \( i\) , \( -770\) , \( -1342\bigr] \)
9522.1-b4 \( \bigl[i\) , \( 0\) , \( i\) , \( -575\) , \( -5266\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph