Elliptic curve isogeny class 1792.1-t over number field \(\Q(\sqrt{21}) \)

• Base field: \(\Q(\sqrt{21}) \)
• Label: 2.2.21.1-1792.1-t
• Conductor: 1792.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 1792.1-t over \(\Q(\sqrt{21}) \)

Isogeny class 1792.1-t contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1792.1-t1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -8 a - 12\) , \( -16 a - 28\bigr] \)
1792.1-t2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -128 a - 232\) , \( -1128 a - 2020\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph