Elliptic curve isogeny class with Cremona label 78400ef (LMFDB label 78400.gs)

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

Elliptic curves in class 78400ef

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
78400.gs1	78400ef1	\([0, 0, 0, -24500, -1715000]\)	\(-34560/7\)	\(-329417200000000\)	\([]\)	\(276480\)	\(1.5082\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 78400ef1 has rank \(1\).

Complex multiplication

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

Modular form 78400.2.a.ef