Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-35721.1-b
Conductor 35721.1
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 35721.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 35721.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
35721.1-b1 \( \bigl[0\) , \( 0\) , \( i\) , \( -54\) , \( 88\bigr] \)
35721.1-b2 \( \bigl[0\) , \( 0\) , \( i\) , \( -24\) , \( -45\bigr] \)
35721.1-b3 \( \bigl[0\) , \( 0\) , \( i\) , \( -3834\) , \( 91375\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)\)

Isogeny graph