Elliptic curve isogeny class with LMFDB label 10008.a (Cremona label 10008e)

• Label: 10008.a
• Number of curves: $1$
• Conductor: $10008$
• CM: no
• Rank: $1$

Elliptic curves in class 10008.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10008.a1	10008e1	\([0, 0, 0, -285267, -58644610]\)	\(-3439147732759876/24623433\)	\(-18381294240768\)	\([]\)	\(101376\)	\(1.7234\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10008.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10008.a do not have complex multiplication.

Modular form 10008.2.a.a