Elliptic curve isogeny class with LMFDB label 10004.a (Cremona label 10004a)

• Label: 10004.a
• Number of curves: $1$
• Conductor: $10004$
• CM: no
• Rank: $1$

Elliptic curves in class 10004.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10004.a1	10004a1	\([0, 0, 0, -536, -4508]\)	\(66523963392/4204181\)	\(1076270336\)	\([]\)	\(3168\)	\(0.48401\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10004.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10004.a do not have complex multiplication.

Modular form 10004.2.a.a