Elliptic curve isogeny class with LMFDB label 78400.im (Cremona label 78400hj)

• Label: 78400.im
• Number of curves: $1$
• Conductor: $78400$
• CM: no
• Rank: $1$

Elliptic curves in class 78400.im

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
78400.im1	78400hj1	\([0, 1, 0, 21467, -3789437]\)	\(12459008/78125\)	\(-6860000000000000\)	\([]\)	\(344064\)	\(1.7205\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 78400.im1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78400.im do not have complex multiplication.

Modular form 78400.2.a.im