Elliptic curve isogeny class with LMFDB label 41405.r (Cremona label 41405r)

• Label: 41405.r
• Number of curves: $1$
• Conductor: $41405$
• CM: no
• Rank: $1$

Elliptic curves in class 41405.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
41405.r1	41405r1	\([0, -1, 1, -2760, -127359]\)	\(-692224/1715\)	\(-5762696847635\)	\([]\)	\(114048\)	\(1.1365\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 41405.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 41405.r do not have complex multiplication.

Modular form 41405.2.a.r