Elliptic curve isogeny class with LMFDB label 397488.he (Cremona label 397488he)

• Label: 397488.he
• Number of curves: $1$
• Conductor: $397488$
• CM: no
• Rank: $1$

Elliptic curves in class 397488.he

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
397488.he1	397488he1	\([0, 1, 0, 6704, -475084]\)	\(68782/243\)	\(-117704324634624\)	\([]\)	\(1036800\)	\(1.3829\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 397488.he1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397488.he do not have complex multiplication.

Modular form 397488.2.a.he