Elliptic curve isogeny class with Cremona label 42978g (LMFDB label 42978.q)

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

Elliptic curves in class 42978g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42978.q1	42978g1	\([1, 1, 1, -15841497, -24275349657]\)	\(-439655359968121653909099793/5796433348716920832\)	\(-5796433348716920832\)	\([]\)	\(2265408\)	\(2.7442\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42978g1 has rank \(1\).

Complex multiplication

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

Modular form 42978.2.a.g