Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-17298.1-c
Conductor 17298.1
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 17298.1-c over \(\Q(\sqrt{-1}) \)

Isogeny class 17298.1-c contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
17298.1-c1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -1395\) , \( -20181\bigr] \)
17298.1-c2 \( \bigl[i\) , \( 0\) , \( 0\) , \( 15\) , \( -9\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph