Properties

Base field 4.4.16997.1
Label 4.4.16997.1-25.3-b
Conductor 25.3
Rank \( 0 \)

Related objects

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Base field 4.4.16997.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - x + 5 \); class number \(1\).

Elliptic curves in class 25.3-b over 4.4.16997.1

Isogeny class 25.3-b contains only one elliptic curve.

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph