Elliptic curve isogeny class with Cremona label 60840g (LMFDB label 60840.q)

• Label: 60840g
• Number of curves: $4$
• Conductor: $60840$
• CM: no
• Rank: $0$

Elliptic curves in class 60840g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
60840.q4	60840g1	$[0, 0, 0, 127257, -12333958]$	$253012016/219375$	$-197612649617760000$	$[2]$	$516096$	$2.0063$	$\Gamma_0(N)$-optimal
60840.q3	60840g2	$[0, 0, 0, -633243, -109221658]$	$7793764996/3080025$	$11097926402533401600$	$[2, 2]$	$1032192$	$2.3529$
60840.q2	60840g3	$[0, 0, 0, -4587843, 3705385502]$	$1481943889298/34543665$	$248935026075287685120$	$[2]$	$2064384$	$2.6994$
60840.q1	60840g4	$[0, 0, 0, -8846643, -10124641618]$	$10625310339698/3855735$	$27785919437453998080$	$[2]$	$2064384$	$2.6994$

Rank

The elliptic curves in class 60840g have rank $0$.

Complex multiplication

The elliptic curves in class 60840g do not have complex multiplication.

Modular form 60840.2.a.g

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 Cremona 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 Cremona labels.