Elliptic curve isogeny class 1600.2-a over number field \(\Q(\sqrt{21}) \)

• Base field: \(\Q(\sqrt{21}) \)
• Label: 2.2.21.1-1600.2-a
• Conductor: 1600.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 1600.2-a over \(\Q(\sqrt{21}) \)

Isogeny class 1600.2-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1600.2-a1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -18 a + 47\) , \( 63 a - 177\bigr] \)
1600.2-a2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 102 a - 353\) , \( 887 a - 2657\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph