Properties

Base field 4.4.12725.1
Label 4.4.12725.1-25.1-a
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-a over 4.4.12725.1

Isogeny class 25.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-a1 \( \bigl[1\) , \( -a + 1\) , \( a^{3} - 6 a - 5\) , \( -52 a^{3} - 54 a^{2} + 335 a + 462\) , \( 508 a^{3} + 576 a^{2} - 3307 a - 4758\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph