Elliptic curve isogeny class 10.1-e over number field 3.3.1620.1

• Base field: 3.3.1620.1
• Label: 3.3.1620.1-10.1-e
• Conductor: 10.1
• Rank: \( 0 \)

Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 10.1-e over 3.3.1620.1

Isogeny class 10.1-e contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
10.1-e1	\( \bigl[a^{2} - a - 7\) , \( -a^{2} + 2 a + 9\) , \( a\) , \( -3 a^{2} - 3 a + 17\) , \( -9 a^{2} - 21 a + 1\bigr] \)
10.1-e2	\( \bigl[a + 1\) , \( -a^{2} + a + 9\) , \( a\) , \( 3382463 a^{2} - 4628154 a - 34347587\) , \( 5638384033 a^{2} - 7821678993 a - 56834438703\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph