Elliptic curve isogeny class with Cremona label 2142f (LMFDB label 2142.a)

• Label: 2142f
• Number of curves: $1$
• Conductor: $2142$
• CM: no
• Rank: $1$

Elliptic curves in class 2142f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2142.a1	2142f1	\([1, -1, 0, -19836, 1106896]\)	\(-1184052061112257/34349180544\)	\(-25040552616576\)	\([]\)	\(6720\)	\(1.3502\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2142f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2142f do not have complex multiplication.

Modular form 2142.2.a.f