Properties

Label 3525883.a
Number of curves $1$
Conductor $3525883$
CM no
Rank $4$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 3525883.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
3525883.a1 \([0, 1, 1, -20, 90]\) \(-929714176/3525883\) \(-3525883\) \([]\) \(2072448\) \(-0.058100\)

Rank

sage: E.rank()
 

The elliptic curve 3525883.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 3525883.a do not have complex multiplication.

Modular form 3525883.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} - 4 q^{5} + 4 q^{6} - 4 q^{7} + q^{9} + 8 q^{10} - 6 q^{11} - 4 q^{12} - q^{13} + 8 q^{14} + 8 q^{15} - 4 q^{16} - 6 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display