Elliptic curve isogeny class with LMFDB label 50193.a (Cremona label 50193r)

• Label: 50193.a
• Number of curves: $1$
• Conductor: $50193$
• CM: no
• Rank: $1$

Elliptic curves in class 50193.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
50193.a1	50193r1	\([0, 0, 1, -1521, -23618]\)	\(-2985984/121\)	\(-15769185003\)	\([]\)	\(49248\)	\(0.72462\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 50193.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 50193.a do not have complex multiplication.

Modular form 50193.2.a.a