Elliptic curve isogeny class 37632.1-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-37632.1-b
• Conductor: 37632.1
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 37632.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 37632.1-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
37632.1-b1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -14 a + 31\) , \( -66 a + 9\bigr] \)
37632.1-b2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 81 a - 59\) , \( -239 a - 134\bigr] \)