Elliptic curve isogeny class with LMFDB label 272734.o (Cremona label 272734o)

• Label: 272734.o
• Number of curves: $1$
• Conductor: $272734$
• CM: no
• Rank: $1$

Elliptic curves in class 272734.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
272734.o1	272734o1	\([1, 1, 0, -15101286, -21837129068]\)	\(1827347754908593/69667569664\)	\(14520280684387094020096\)	\([]\)	\(19353600\)	\(3.0206\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 272734.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 272734.o do not have complex multiplication.

Modular form 272734.2.a.o