Elliptic curve isogeny class with Cremona label 378560k (LMFDB label 378560.k)

• Label: 378560k
• Number of curves: $1$
• Conductor: $378560$
• CM: no
• Rank: $1$

Elliptic curves in class 378560k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
378560.k1	378560k1	\([0, 0, 0, 338, -4394]\)	\(13824/35\)	\(-10812052160\)	\([]\)	\(449280\)	\(0.60912\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 378560k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 378560k do not have complex multiplication.

Modular form 378560.2.a.k