Properties

Label 4600f
Number of curves 11
Conductor 46004600
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 4600f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.d1 4600f1 [0,1,0,5208,141088][0, 1, 0, -5208, 141088] 1562500/231562500/23 230000000000230000000000 [][] 76807680 0.983320.98332 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600f1 has rank 00.

Complex multiplication

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

Modular form 4600.2.a.f

sage: E.q_eigenform(10)
 
q2q3+3q7+q9+5q11+5q13+4q17+q19+O(q20)q - 2 q^{3} + 3 q^{7} + q^{9} + 5 q^{11} + 5 q^{13} + 4 q^{17} + q^{19} + O(q^{20}) Copy content Toggle raw display