Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 3528.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3528.j1 3528w1 \([0, 0, 0, -7203, 218491]\) \(12544\) \(3294791304336\) \([]\) \(5040\) \(1.1454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528.j1 has rank \(0\).

Complex multiplication

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

Modular form 3528.2.a.j

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