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

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

Elliptic curves in class 10002.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10002.c1	10002a1	\([1, 1, 0, -1804, 32080]\)	\(-649844448647113/89597435904\)	\(-89597435904\)	\([]\)	\(14560\)	\(0.83330\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10002.c1 has rank \(1\).

Complex multiplication

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

Modular form 10002.2.a.c