Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-11979.10-c
Conductor 11979.10
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 11979.10-c over \(\Q(\sqrt{-2}) \)

Isogeny class 11979.10-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
11979.10-c1 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 156406 a - 132946\) , \( -35765441 a + 1270977\bigr] \)
11979.10-c2 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 206 a - 176\) , \( -3231 a + 37\bigr] \)
11979.10-c3 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 6 a - 6\) , \( 19 a - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph