Properties

Label 4650.p
Number of curves $1$
Conductor $4650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 4650.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.p1 4650s1 \([1, 0, 1, 554, 9488]\) \(150823633267/395392104\) \(-49424013000\) \([]\) \(3744\) \(0.73567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4650.p do not have complex multiplication.

Modular form 4650.2.a.p

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