Properties

Label 45693.a
Number of curves 1
Conductor 45693
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("45693.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 45693.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
45693.a1 45693a1 [0, 0, 1, -63, -169] [] 27776 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45693.a1 has rank \(0\).

Modular form 45693.2.a.a

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