Elliptic curve isogeny class with LMFDB label 10005.e (Cremona label 10005a)

• Label: 10005.e
• Number of curves: $1$
• Conductor: $10005$
• CM: no
• Rank: $1$

Elliptic curves in class 10005.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10005.e1	10005a1	\([0, -1, 1, -51, -124]\)	\(14959673344/90045\)	\(90045\)	\([]\)	\(1632\)	\(-0.21004\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10005.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10005.e do not have complex multiplication.

Modular form 10005.2.a.e