Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
600.b1 600b1 \([0, -1, 0, 7, -3]\) \(5120/3\) \(-19200\) \([]\) \(48\) \(-0.48871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 600.b1 has rank \(1\).

Complex multiplication

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

Modular form 600.2.a.b

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