Properties

Label 3528.q
Number of curves $1$
Conductor $3528$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3528.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.q1 3528s1 [0, 0, 0, 17493, 2012038] [] 13440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528.q1 has rank \(1\).

Complex multiplication

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

Modular form 3528.2.a.q

sage: E.q_eigenform(10)
 
\( q + q^{5} - 3q^{11} + 4q^{13} - 4q^{19} + O(q^{20}) \)