Elliptic curve isogeny class with LMFDB label 123627.w (Cremona label 123627k)

• Label: 123627.w
• Number of curves: $1$
• Conductor: $123627$
• CM: no
• Rank: $2$

Elliptic curves in class 123627.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
123627.w1	123627k1	\([0, -1, 1, -25510, -1007931]\)	\(62992384/21141\)	\(616182831633789\)	\([]\)	\(846720\)	\(1.5403\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 123627.w1 has rank \(2\).

Complex multiplication

The elliptic curves in class 123627.w do not have complex multiplication.

Modular form 123627.2.a.w