Elliptic curve isogeny class 900.1-l over number field \(\Q(\sqrt{21}) \)

• Base field: \(\Q(\sqrt{21}) \)
• Label: 2.2.21.1-900.1-l
• Conductor: 900.1
• Rank: \( 0 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); 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 900.1-l over \(\Q(\sqrt{21}) \)

Isogeny class 900.1-l contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
900.1-l1	\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 150 a - 411\) , \( -1712 a + 4887\bigr] \)
900.1-l2	\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 150 a - 441\) , \( -1592 a + 4461\bigr] \)