Elliptic curve isogeny class 86436.3-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-86436.3-c
• Conductor: 86436.3
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 86436.3-c over \(\Q(\sqrt{-3}) \)

Isogeny class 86436.3-c contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
86436.3-c1	\( \bigl[1\) , \( a\) , \( 0\) , \( -3384 a + 2115\) , \( 39420 a - 72927\bigr] \)
86436.3-c2	\( \bigl[1\) , \( a\) , \( 0\) , \( -24 a + 15\) , \( -60 a + 111\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph