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

• Label: 42978.t
• Number of curves: $1$
• Conductor: $42978$
• CM: no
• Rank: $2$

Elliptic curves in class 42978.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42978.t1	42978t1	\([1, 0, 0, -2801, 63849]\)	\(-2430371866120849/367567110144\)	\(-367567110144\)	\([]\)	\(129024\)	\(0.94860\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42978.t1 has rank \(2\).

Complex multiplication

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

Modular form 42978.2.a.t