Elliptic curve isogeny class with Cremona label 1728w (LMFDB label 1728.q)

• Label: 1728w
• Number of curves: $1$
• Conductor: $1728$
• CM: no
• Rank: $1$

Elliptic curves in class 1728w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.q1	1728w1	\([0, 0, 0, -12, 48]\)	\(-216\)	\(-884736\)	\([]\)	\(192\)	\(-0.17420\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1728w do not have complex multiplication.

Modular form 1728.2.a.w