Elliptic curve isogeny class 875.2-b over number field \(\Q(\sqrt{21}) \)

• Base field: \(\Q(\sqrt{21}) \)
• Label: 2.2.21.1-875.2-b
• Conductor: 875.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 875.2-b over \(\Q(\sqrt{21}) \)

Isogeny class 875.2-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
875.2-b1	\( \bigl[1\) , \( 1\) , \( 1\) , \( 73 a + 124\) , \( -2087 a - 3747\bigr] \)
875.2-b2	\( \bigl[1\) , \( 1\) , \( 1\) , \( -72 a - 131\) , \( -503 a - 901\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph