Elliptic curve isogeny class with LMFDB label 193200.r (Cremona label 193200dh)

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

Elliptic curves in class 193200.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193200.r1	193200dh1	\([0, -1, 0, -14208, 726912]\)	\(-198259105/26082\)	\(-41731200000000\)	\([]\)	\(368640\)	\(1.3465\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 193200.r1 has rank \(1\).

Complex multiplication

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

Modular form 193200.2.a.r