Properties

Label 5328.f
Number of curves $1$
Conductor $5328$
CM no
Rank $1$

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

Elliptic curves in class 5328.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5328.f1 5328n1 \([0, 0, 0, -411, -3254]\) \(-69426531/1184\) \(-130940928\) \([]\) \(1920\) \(0.35595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5328.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5328.f do not have complex multiplication.

Modular form 5328.2.a.f

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