Elliptic curve isogeny class 78400.2-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-78400.2-e
• Conductor: 78400.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 78400.2-e over \(\Q(\sqrt{-3}) \)

Isogeny class 78400.2-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
78400.2-e1	\( \bigl[0\) , \( a\) , \( 0\) , \( -128 a - 976\) , \( -2944 a - 12020\bigr] \)
78400.2-e2	\( \bigl[0\) , \( a\) , \( 0\) , \( -128 a + 24\) , \( 656 a - 820\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph