Properties

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

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

Elliptic curves in class 4730.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4730.j1 4730h1 \([1, 0, 0, -330, -2398]\) \(-3975097468321/127118750\) \(-127118750\) \([]\) \(3520\) \(0.33089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 4730.j do not have complex multiplication.

Modular form 4730.2.a.j

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