Properties

Label 1911.b
Number of curves $1$
Conductor $1911$
CM no
Rank $1$

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

Elliptic curves in class 1911.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1911.b1 1911b1 \([1, 1, 1, 20, 146]\) \(17999471/177957\) \(-8719893\) \([]\) \(576\) \(0.012898\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1911.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1911.b do not have complex multiplication.

Modular form 1911.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - 4 q^{5} + q^{6} + 3 q^{8} + q^{9} + 4 q^{10} - 5 q^{11} + q^{12} + q^{13} + 4 q^{15} - q^{16} - 3 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display