Properties

Label 165528u
Number of curves $1$
Conductor $165528$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 165528u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
165528.o1 165528u1 \([0, 0, 0, -9075, -476498]\) \(-31250/19\) \(-50253601609728\) \([]\) \(336000\) \(1.3311\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 165528u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 165528u do not have complex multiplication.

Modular form 165528.2.a.u

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