Properties

Label 600.f
Number of curves $1$
Conductor $600$
CM no
Rank $1$

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

Elliptic curves in class 600.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
600.f1 600e1 \([0, 1, 0, -233, 1563]\) \(-8780800/2187\) \(-349920000\) \([]\) \(336\) \(0.35738\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 600.f1 has rank \(1\).

Complex multiplication

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

Modular form 600.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} + q^{9} - 6 q^{11} - 3 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display