Elliptic curve isogeny class with Cremona label 17787b (LMFDB label 17787.j)

• Label: 17787b
• Number of curves: $1$
• Conductor: $17787$
• CM: no
• Rank: $2$

Elliptic curves in class 17787b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17787.j1	17787b1	\([1, 1, 1, -3088, 67178]\)	\(-765625/33\)	\(-140366092713\)	\([]\)	\(17280\)	\(0.90477\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17787b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 17787b do not have complex multiplication.

Modular form 17787.2.a.b