Properties

Base field 4.4.9909.1
Label 4.4.9909.1-27.1-d
Conductor 27.1
Rank \( 0 \)

Related objects

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Base field 4.4.9909.1

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

Elliptic curves in class 27.1-d over 4.4.9909.1

Isogeny class 27.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
27.1-d1 \( \bigl[a^{2} - a - 2\) , \( -a^{2} + 2 a + 2\) , \( a^{2} - 2\) , \( -410 a^{3} + 494 a^{2} + 1862 a - 1016\) , \( 7037 a^{3} - 8498 a^{2} - 31962 a + 17483\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph