Elliptic curve isogeny class with LMFDB label 21648.k (Cremona label 21648t)

• Label: 21648.k
• Number of curves: $1$
• Conductor: $21648$
• CM: no
• Rank: $1$

Elliptic curves in class 21648.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
21648.k1	21648t1	\([0, -1, 0, -26256, -2627136]\)	\(-488726621230609/449959048704\)	\(-1843032263491584\)	\([]\)	\(114048\)	\(1.6258\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 21648.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21648.k do not have complex multiplication.

Modular form 21648.2.a.k