Properties

Label 24546.a
Number of curves 1
Conductor 24546
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("24546.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 24546.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
24546.a1 24546a1 [1, 1, 0, -39, 81] [] 9984 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24546.a1 has rank \(3\).

Modular form 24546.2.a.a

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