Properties

Label 3528w
Number of curves $1$
Conductor $3528$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3528w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.j1 3528w1 [0, 0, 0, -7203, 218491] [] 5040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3528w do not have complex multiplication.

Modular form 3528.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{5} - 3q^{11} + 6q^{13} - 5q^{17} - q^{19} + O(q^{20}) \)