Elliptic curve isogeny class 26481.2-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-26481.2-c
• Conductor: 26481.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 26481.2-c over \(\Q(\sqrt{-3}) \)

Isogeny class 26481.2-c contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
26481.2-c1	\( \bigl[0\) , \( 1\) , \( a + 1\) , \( 1388 a + 230\) , \( 14543 a + 15458\bigr] \)
26481.2-c2	\( \bigl[0\) , \( 1\) , \( a + 1\) , \( 58 a - 50\) , \( -150 a + 30\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph