Properties

Label 4600.o
Number of curves $1$
Conductor $4600$
CM no
Rank $0$

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

Elliptic curves in class 4600.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.o1 4600p1 \([0, -1, 0, 167, 5037]\) \(1024/23\) \(-11500000000\) \([]\) \(3520\) \(0.61073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4600.o do not have complex multiplication.

Modular form 4600.2.a.o

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + 3 q^{7} + q^{9} + 6 q^{13} + 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display