Properties

Label 600.i
Number of curves 11
Conductor 600600
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 600.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
600.i1 600i1 [0,1,0,167,37][0, 1, 0, 167, -37] 5120/35120/3 300000000-300000000 [][] 240240 0.316010.31601 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 600.i1 has rank 00.

Complex multiplication

The elliptic curves in class 600.i do not have complex multiplication.

Modular form 600.2.a.i

sage: E.q_eigenform(10)
 
q+q3+3q7+q9+2q113q13+6q177q19+O(q20)q + q^{3} + 3 q^{7} + q^{9} + 2 q^{11} - 3 q^{13} + 6 q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display