Properties

Label 182772.a
Number of curves 1
Conductor 182772
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("182772.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 182772.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
182772.a1 182772a1 [0, 0, 0, -984, -11788] [] 72000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182772.a1 has rank \(1\).

Modular form 182772.2.a.a

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