Properties

Label 4864.o
Number of curves $1$
Conductor $4864$
CM no
Rank $0$

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

Elliptic curves in class 4864.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4864.o1 4864h1 \([0, 0, 0, -22, -40]\) \(-2299968/19\) \(-9728\) \([]\) \(960\) \(-0.40811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4864.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4864.o do not have complex multiplication.

Modular form 4864.2.a.o

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