Properties

Base field 4.4.725.1
Label 4.4.725.1-149.3-b
Conductor 149.3
Rank \( 0 \)

Related objects

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Base field 4.4.725.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 3 x^{2} + x + 1 \); class number \(1\).

Elliptic curves in class 149.3-b over 4.4.725.1

Isogeny class 149.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
149.3-b1 \( \bigl[a^{3} - 2 a\) , \( -a + 1\) , \( a^{3} - 2 a + 1\) , \( a^{3} - 2 a^{2} - 2 a - 2\) , \( 2 a^{3} - 4 a^{2} - a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph