Elliptic curve isogeny class with LMFDB label 10584.w (Cremona label 10584bf)

• Label: 10584.w
• Number of curves: $1$
• Conductor: $10584$
• CM: no
• Rank: $0$

Elliptic curves in class 10584.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.w1	10584bf1	\([0, 0, 0, 41013, -9057258]\)	\(3217428/16807\)	\(-39853795617248256\)	\([]\)	\(69120\)	\(1.8675\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10584.w do not have complex multiplication.

Modular form 10584.2.a.w