Elliptic curve isogeny class 10092.1-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-10092.1-d
• Conductor: 10092.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 10092.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 10092.1-d contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
10092.1-d1	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -6511 a + 6511\) , \( -203353\bigr] \)
10092.1-d2	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -a + 1\) , \( 137\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph