Properties

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

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

Elliptic curves in class 3528.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3528.f1 3528u1 \([0, 0, 0, -4116, 278516]\) \(-7168/27\) \(-29047955989248\) \([]\) \(8064\) \(1.2690\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528.f1 has rank \(1\).

Complex multiplication

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

Modular form 3528.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 6 q^{11} - 3 q^{13} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display