Properties

Base field 4.4.4400.1
Label 4.4.4400.1-31.2-e
Conductor 31.2
Rank \( 1 \)

Related objects

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Base field 4.4.4400.1

Generator \(a\), with minimal polynomial \( x^{4} - 7 x^{2} + 11 \); class number \(1\).

Elliptic curves in class 31.2-e over 4.4.4400.1

Isogeny class 31.2-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
31.2-e1 \( \bigl[a^{3} + a^{2} - 3 a - 3\) , \( -a^{3} - a^{2} + 4 a + 5\) , \( 1\) , \( 29 a^{3} - 62 a^{2} - 67 a + 150\) , \( 242 a^{3} - 518 a^{2} - 576 a + 1234\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph