Elliptic curve isogeny class with Cremona label 10002e (LMFDB label 10002.e)

• Label: 10002e
• Number of curves: $1$
• Conductor: $10002$
• CM: no
• Rank: $1$

Elliptic curves in class 10002e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10002.e1	10002e1	\([1, 0, 0, -37, -7]\)	\(5611284433/3240648\)	\(3240648\)	\([]\)	\(2160\)	\(-0.061213\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10002e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10002e do not have complex multiplication.

Modular form 10002.2.a.e