Elliptic curve isogeny class 11979.3-c over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-11979.3-c
• Conductor: 11979.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 11979.3-c over \(\Q(\sqrt{-2}) \)

Isogeny class 11979.3-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
11979.3-c1	\( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( -156406 a - 132946\) , \( 35765440 a + 1270977\bigr] \)
11979.3-c2	\( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( -206 a - 176\) , \( 3230 a + 37\bigr] \)
11979.3-c3	\( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( -6 a - 6\) , \( -20 a - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph