Elliptic curve isogeny class with LMFDB label 7920.t (Cremona label 7920bi)

• Label: 7920.t
• Number of curves: $4$
• Conductor: $7920$
• CM: no
• Rank: $0$

Elliptic curves in class 7920.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7920.t1	7920bi3	$[0, 0, 0, -263938467, -1650339826526]$	$680995599504466943307169/52207031250000000$	$155889360000000000000000$	$[2]$	$1720320$	$3.4985$
7920.t2	7920bi2	$[0, 0, 0, -17594787, -22155907934]$	$201738262891771037089/45727545600000000$	$136541719520870400000000$	$[2, 2]$	$860160$	$3.1519$
7920.t3	7920bi1	$[0, 0, 0, -5798307, 5077445794]$	$7220044159551112609/448454983680000$	$1339079405988741120000$	$[2]$	$430080$	$2.8054$	$\Gamma_0(N)$-optimal
7920.t4	7920bi4	$[0, 0, 0, 40005213, -136906627934]$	$2371297246710590562911/4084000833203280000$	$-12194761143931662827520000$	$[2]$	$1720320$	$3.4985$

Rank

The elliptic curves in class 7920.t have rank $0$.

Complex multiplication

The elliptic curves in class 7920.t do not have complex multiplication.

Modular form 7920.2.a.t

Isogeny matrix

The $i,j$ entry is the smallest degree of a cyclic isogeny between the $i$-th and $j$-th curve in the isogeny class, in the LMFDB numbering.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.