Properties

Label 47775.cf
Number of curves $1$
Conductor $47775$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 47775.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47775.cf1 47775bu1 \([0, 1, 1, 5717, -112031]\) \(229376/195\) \(-17564628046875\) \([]\) \(92736\) \(1.2290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47775.cf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47775.cf do not have complex multiplication.

Modular form 47775.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{9} + q^{11} - 2 q^{12} - q^{13} + 4 q^{16} + 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display