Elliptic curve isogeny class with Cremona label 12096cf (LMFDB label 12096.o)

• Label: 12096cf
• Number of curves: $1$
• Conductor: $12096$
• CM: no
• Rank: $1$

Elliptic curves in class 12096cf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12096.o1	12096cf1	\([0, 0, 0, -54, 54]\)	\(13824/7\)	\(8817984\)	\([]\)	\(2304\)	\(0.025217\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12096cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12096cf do not have complex multiplication.

Modular form 12096.2.a.cf