Properties

Label 53176.f
Number of curves $1$
Conductor $53176$
CM no
Rank $0$

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

Elliptic curves in class 53176.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53176.f1 53176d1 \([0, 1, 0, -96, 4517]\) \(-256/23\) \(-8882625392\) \([]\) \(40960\) \(0.58855\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53176.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53176.f do not have complex multiplication.

Modular form 53176.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} - 2 q^{7} - 2 q^{9} + 4 q^{11} - 5 q^{13} + 4 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display