Properties

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

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

Elliptic curves in class 4600.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.p1 4600j1 [0,0,0,4675,123875][0, 0, 0, -4675, 123875] 45198971136/359375-45198971136/359375 89843750000-89843750000 [][] 69126912 0.929990.92999 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.p1 has rank 00.

Complex multiplication

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

Modular form 4600.2.a.p

sage: E.q_eigenform(10)
 
q+3q3+2q7+6q9q13+O(q20)q + 3 q^{3} + 2 q^{7} + 6 q^{9} - q^{13} + O(q^{20}) Copy content Toggle raw display