Properties

Label 6003.b
Number of curves $1$
Conductor $6003$
CM no
Rank $1$

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

Elliptic curves in class 6003.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6003.b1 6003a1 [0, 0, 1, 60, 243] [] 1024 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6003.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6003.b do not have complex multiplication.

Modular form 6003.2.a.b

sage: E.q_eigenform(10)
 
\( q - 2q^{4} + 4q^{11} + 3q^{13} + 4q^{16} - 3q^{17} - 7q^{19} + O(q^{20}) \)