Properties

Label 4650.o
Number of curves $1$
Conductor $4650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 4650.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.o1 4650n1 \([1, 0, 1, 929, -3982]\) \(3552243132335/2340421632\) \(-58510540800\) \([]\) \(4416\) \(0.75485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.o1 has rank \(0\).

Complex multiplication

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

Modular form 4650.2.a.o

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