Properties

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

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

Elliptic curves in class 3528f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.ba1 3528f1 [0, 0, 0, -2268, -41580] [] 2880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528f1 has rank \(0\).

Complex multiplication

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

Modular form 3528.2.a.f

sage: E.q_eigenform(10)
 
\( q + 4q^{5} + 3q^{13} - 4q^{17} - 7q^{19} + O(q^{20}) \)