Elliptic curve isogeny class with LMFDB label 20449.f (Cremona label 20449c)

• Label: 20449.f
• Number of curves: $1$
• Conductor: $20449$
• CM: no
• Rank: $2$

Elliptic curves in class 20449.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20449.f1	20449c1	\([1, 1, 0, -3214, 42827]\)	\(6289657/2197\)	\(1283144424133\)	\([]\)	\(24192\)	\(1.0248\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 20449.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 20449.f do not have complex multiplication.

Modular form 20449.2.a.f