Properties

Base field 4.4.12725.1
Label 4.4.12725.1-25.1-e
Conductor 25.1
Rank \( 0 \)

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-e over 4.4.12725.1

Isogeny class 25.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-e1 \( \bigl[a^{3} - 6 a - 5\) , \( -a^{3} + 2 a^{2} + 5 a - 6\) , \( a^{3} - 7 a - 5\) , \( a^{3} + 4 a^{2} - 8 a - 26\) , \( 9 a^{3} - 21 a^{2} - 43 a + 90\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph