Properties

Base field \(\Q(\sqrt{29}) \)
Label 2.2.29.1-441.1-d
Conductor 441.1
Rank \( 1 \)

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Base field \(\Q(\sqrt{29}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).

Elliptic curves in class 441.1-d over \(\Q(\sqrt{29}) \)

Isogeny class 441.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
441.1-d1 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -5 a - 8\) , \( 16 a + 34\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph