Elliptic curve isogeny class 49152.1-i over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-49152.1-i
• Conductor: 49152.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 49152.1-i over \(\Q(\sqrt{-3}) \)

Isogeny class 49152.1-i contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
49152.1-i1	\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a + 15\) , \( 20 a - 15\bigr] \)
49152.1-i2	\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a + 5\) , \( -8 a + 7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph