Elliptic curve isogeny class with Cremona label 12705f (LMFDB label 12705.o)

• Label: 12705f
• Number of curves: $1$
• Conductor: $12705$
• CM: no
• Rank: $1$

Elliptic curves in class 12705f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12705.o1	12705f1	\([0, -1, 1, -40, -10869]\)	\(-4096/28875\)	\(-51153823875\)	\([]\)	\(17280\)	\(0.73376\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12705f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12705f do not have complex multiplication.

Modular form 12705.2.a.f