Elliptic curve isogeny class with Cremona label 198744bp (LMFDB label 198744.r)

• Label: 198744bp
• Number of curves: $1$
• Conductor: $198744$
• CM: no
• Rank: $1$

Elliptic curves in class 198744bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
198744.r1	198744bp1	\([0, -1, 0, 6704, 475084]\)	\(68782/243\)	\(-117704324634624\)	\([]\)	\(518400\)	\(1.3829\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 198744bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 198744bp do not have complex multiplication.

Modular form 198744.2.a.bp