Elliptic curve isogeny class with LMFDB label 279174.cm (Cremona label 279174cm)

• Label: 279174.cm
• Number of curves: $1$
• Conductor: $279174$
• CM: no
• Rank: $1$

Elliptic curves in class 279174.cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
279174.cm1	279174cm1	\([1, 0, 0, -177741, -28955151]\)	\(-25727239787761/101406816\)	\(-2447714018270304\)	\([]\)	\(1774080\)	\(1.8104\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 279174.cm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 279174.cm do not have complex multiplication.

Modular form 279174.2.a.cm