Properties

Base field 4.4.16448.1
Label 4.4.16448.1-2.1-b
Conductor 2.1
Rank \( 1 \)

Related objects

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Base field 4.4.16448.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 6 x^{2} + 2 \); class number \(1\).

Elliptic curves in class 2.1-b over 4.4.16448.1

Isogeny class 2.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
2.1-b1 \( \bigl[2 a^{3} - 5 a^{2} - 7 a + 1\) , \( 1\) , \( a + 1\) , \( 6 a^{2} - 17 a - 12\) , \( 16 a^{3} - 59 a^{2} - 3 a + 33\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph