Properties

Base field 4.4.16448.1
Label 4.4.16448.1-10.1-a
Conductor 10.1
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 10.1-a over 4.4.16448.1

Isogeny class 10.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-a1 \( \bigl[a^{3} - 3 a^{2} - 3 a + 3\) , \( a^{3} - 3 a^{2} - 4 a + 2\) , \( a^{3} - 3 a^{2} - 3 a + 2\) , \( 66 a^{3} - 99 a^{2} - 441 a - 230\) , \( -516 a^{3} + 750 a^{2} + 3510 a + 1912\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph