Properties

Label 6026.b
Number of curves $1$
Conductor $6026$
CM no
Rank $1$

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

Elliptic curves in class 6026.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6026.b1 6026a1 \([1, -1, 0, -203, -827]\) \(927715200777/204016256\) \(204016256\) \([]\) \(2016\) \(0.30800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6026.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6026.b do not have complex multiplication.

Modular form 6026.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - 2 q^{7} - q^{8} - 3 q^{9} - 3 q^{10} - q^{11} + 4 q^{13} + 2 q^{14} + q^{16} + 3 q^{17} + 3 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display