Properties

Label 4730.j
Number of curves 1
Conductor 4730
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("4730.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4730.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4730.j1 4730h1 [1, 0, 0, -330, -2398] [] 3520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4730.j1 has rank \(0\).

Modular form 4730.2.a.j

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