Properties

Base field 4.4.12725.1
Label 4.4.12725.1-25.1-d
Conductor 25.1
Rank \( 1 \)

Related objects

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Base field 4.4.12725.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).

Elliptic curves in class 25.1-d over 4.4.12725.1

Isogeny class 25.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-d1 \( \bigl[1\) , \( a^{2} - a - 7\) , \( a^{3} - 7 a - 5\) , \( -2 a^{2} + 2 a + 13\) , \( 5 a^{2} - 4 a - 31\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph