Elliptic curve isogeny class 870.1-c over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-870.1-c
• Conductor: 870.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{6}) \)

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

Elliptic curves in class 870.1-c over \(\Q(\sqrt{6}) \)

Isogeny class 870.1-c contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
870.1-c1	\( \bigl[1\) , \( 0\) , \( a\) , \( 140674 a - 385148\) , \( 48358606 a - 121602228\bigr] \)
870.1-c2	\( \bigl[1\) , \( 0\) , \( a\) , \( -346 a + 832\) , \( -18514 a + 45312\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph