Properties

Label 47096.f
Number of curves $1$
Conductor $47096$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 47096.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47096.f1 47096h1 \([0, -1, 0, 5607, 211309]\) \(128000/203\) \(-30911778345728\) \([]\) \(107520\) \(1.2737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47096.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47096.f do not have complex multiplication.

Modular form 47096.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2q^{9} + 6q^{11} + 4q^{13} - 6q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display