Elliptic curve isogeny class with Cremona label 12635b (LMFDB label 12635.f)

• Label: 12635b
• Number of curves: $1$
• Conductor: $12635$
• CM: no
• Rank: $1$

Elliptic curves in class 12635b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12635.f1	12635b1	\([1, 0, 1, 23096, -1586069]\)	\(28962726911/39916625\)	\(-1877912789671625\)	\([]\)	\(43200\)	\(1.6164\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12635b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12635b do not have complex multiplication.

Modular form 12635.2.a.b