Elliptic curve isogeny class with Cremona label 17200b (LMFDB label 17200.k)

• Label: 17200b
• Number of curves: $1$
• Conductor: $17200$
• CM: no
• Rank: $1$

Elliptic curves in class 17200b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17200.k1	17200b1	\([0, 1, 0, -8, 3988]\)	\(-2/215\)	\(-6880000000\)	\([]\)	\(10752\)	\(0.56655\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17200b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17200b do not have complex multiplication.

Modular form 17200.2.a.b