Elliptic curve isogeny class with LMFDB label 4536.f (Cremona label 4536g)

• Label: 4536.f
• Number of curves: $1$
• Conductor: $4536$
• CM: no
• Rank: $1$

Elliptic curves in class 4536.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4536.f1	4536g1	\([0, 0, 0, -747, 8118]\)	\(-61752996/2401\)	\(-1792336896\)	\([]\)	\(2304\)	\(0.54478\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4536.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4536.f do not have complex multiplication.

Modular form 4536.2.a.f