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

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

Elliptic curves in class 279174.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
279174.f1	279174f1	\([1, 1, 0, -30648, 3476754]\)	\(-648045510056153/695677596138\)	\(-3417864029825994\)	\([]\)	\(1589760\)	\(1.6756\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 279174.f1 has rank \(1\).

Complex multiplication

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

Modular form 279174.2.a.f