Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-114244.3-g
Conductor 114244.3
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Elliptic curves in class 114244.3-g over \(\Q(\sqrt{-3}) \)

Isogeny class 114244.3-g contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
114244.3-g1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -65773\) , \( -6478507\bigr] \)
114244.3-g2 \( \bigl[1\) , \( -1\) , \( 1\) , \( 137\) , \( 2643\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph