Properties

Base field 6.6.1241125.1
Label 6.6.1241125.1-25.2-c
Conductor 25.2
Rank \( 0 \)

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Base field 6.6.1241125.1

Generator \(a\), with minimal polynomial \( x^{6} - 7 x^{4} - 2 x^{3} + 11 x^{2} + 7 x + 1 \); class number \(1\).

Elliptic curves in class 25.2-c over 6.6.1241125.1

Isogeny class 25.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.2-c1 \( \bigl[-2 a^{5} + a^{4} + 13 a^{3} - 2 a^{2} - 18 a - 6\) , \( -a^{2} + a + 2\) , \( -a^{5} + 7 a^{3} + 2 a^{2} - 11 a - 5\) , \( 26 a^{5} - 12 a^{4} - 176 a^{3} + 29 a^{2} + 270 a + 59\) , \( -51 a^{5} + 24 a^{4} + 346 a^{3} - 61 a^{2} - 534 a - 106\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph