Elliptic curve isogeny class 34969.6-c over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-34969.6-c
• Conductor: 34969.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 34969.6-c over \(\Q(\sqrt{-2}) \)

Isogeny class 34969.6-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
34969.6-c1	\( \bigl[0\) , \( a\) , \( a + 1\) , \( -93844 a - 7821\) , \( -10117694 a + 12040955\bigr] \)
34969.6-c2	\( \bigl[0\) , \( a\) , \( a + 1\) , \( -124 a - 11\) , \( -884 a + 1125\bigr] \)
34969.6-c3	\( \bigl[0\) , \( a\) , \( a + 1\) , \( -4 a - 1\) , \( 6 a - 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph