Label 3528t
Number of curves $1$
Conductor $3528$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("t1")
sage: E.isogeny_class()

Elliptic curves in class 3528t

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.p1 3528t1 [0, 0, 0, -147, -637] [] 720 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 3528t1 has rank \(1\).

Complex multiplication

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

Modular form 3528.2.a.t

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