Properties

Label 6017.b
Number of curves $1$
Conductor $6017$
CM no
Rank $0$

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

Elliptic curves in class 6017.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6017.b1 6017b1 \([0, -1, 1, -1, -136]\) \(-262144/8008627\) \(-8008627\) \([]\) \(1856\) \(0.0035653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6017.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6017.b do not have complex multiplication.

Modular form 6017.2.a.b

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{4} + 4 q^{5} + 2 q^{7} + q^{9} + q^{11} - 4 q^{12} + q^{13} + 8 q^{15} + 4 q^{16} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display