Elliptic curve isogeny class with LMFDB label 42978.s (Cremona label 42978w)

• Label: 42978.s
• Number of curves: $1$
• Conductor: $42978$
• CM: no
• Rank: $1$

Elliptic curves in class 42978.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42978.s1	42978w1	\([1, 0, 0, -137104, 19773608]\)	\(-285019311441186406657/4163607870171048\)	\(-4163607870171048\)	\([]\)	\(388800\)	\(1.8014\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42978.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 42978.s do not have complex multiplication.

Modular form 42978.2.a.s