Elliptic curve isogeny class with LMFDB label 100008.b (Cremona label 100008a)

• Label: 100008.b
• Number of curves: $1$
• Conductor: $100008$
• CM: no
• Rank: $0$

Elliptic curves in class 100008.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100008.b1	100008a1	\([0, 0, 0, -51, 222]\)	\(-530604/463\)	\(-12801024\)	\([]\)	\(21696\)	\(0.061044\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 100008.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100008.b do not have complex multiplication.

Modular form 100008.2.a.b