Elliptic curve isogeny class with LMFDB label 1002.e (Cremona label 1002e)

• Label: 1002.e
• Number of curves: $1$
• Conductor: $1002$
• CM: no
• Rank: $1$

Elliptic curves in class 1002.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1002.e1	1002e1	\([1, 0, 0, -27, 81]\)	\(-2181825073/1731456\)	\(-1731456\)	\([]\)	\(224\)	\(-0.10450\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1002.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1002.e do not have complex multiplication.

Modular form 1002.2.a.e