Elliptic curve isogeny class with Cremona label 193200ej (LMFDB label 193200.e)

• Label: 193200ej
• Number of curves: $1$
• Conductor: $193200$
• CM: no
• Rank: $1$

Elliptic curves in class 193200ej

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193200.e1	193200ej1	\([0, -1, 0, 107, 21277]\)	\(1310720/1917027\)	\(-196303564800\)	\([]\)	\(207360\)	\(0.84589\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 193200ej1 has rank \(1\).

Complex multiplication

The elliptic curves in class 193200ej do not have complex multiplication.

Modular form 193200.2.a.ej