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

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Show commands for: SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()

Elliptic curves in class 3528.k

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.k1 3528j1 [0, 0, 0, -63, -189] [] 336 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 3528.k1 has rank \(1\).

Complex multiplication

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

Modular form 3528.2.a.k

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