Properties

Label 4883953.a
Number of curves $1$
Conductor $4883953$
CM no
Rank $4$

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

Elliptic curves in class 4883953.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4883953.a1 \([1, 0, 0, -784, 8385]\) \(-53297461115137/4883953\) \(-4883953\) \([]\) \(1881472\) \(0.32230\)

Rank

sage: E.rank()
 

The elliptic curve 4883953.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4883953.a do not have complex multiplication.

Modular form 4883953.2.a.a

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