Properties

Label 21443a
Number of curves 1
Conductor 21443
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("21443.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 21443a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
21443.a1 21443a1 [1, 1, 1, -5, 6] [] 2912 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21443a1 has rank \(3\).

Modular form 21443.2.a.a

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