Elliptic curve isogeny class with Cremona label 1003d (LMFDB label 1003.d)

• Label: 1003d
• Number of curves: $1$
• Conductor: $1003$
• CM: no
• Rank: $1$

Elliptic curves in class 1003d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1003.d1	1003d1	\([0, 0, 1, -41, 135]\)	\(-7622111232/3491443\)	\(-3491443\)	\([]\)	\(180\)	\(-0.038056\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1003d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1003d do not have complex multiplication.

Modular form 1003.2.a.d