Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-29241.3-g
Conductor 29241.3
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 29241.3-g over \(\Q(\sqrt{-11}) \)

Isogeny class 29241.3-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
29241.3-g1 \( \bigl[0\) , \( 0\) , \( 1\) , \( -15 a - 30\) , \( 54 a + 47\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph