Properties

Base field \(\Q(\sqrt{29}) \)
Label 2.2.29.1-441.1-i
Conductor 441.1
Rank \( 0 \)

Related objects

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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-i over \(\Q(\sqrt{29}) \)

Isogeny class 441.1-i contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
441.1-i1 \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 18 a + 38\) , \( -21 a - 47\bigr] \)
441.1-i2 \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -87 a - 207\) , \( -546 a - 1223\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph