Properties

Label 11913.b
Number of curves $1$
Conductor $11913$
CM no
Rank $0$

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

Elliptic curves in class 11913.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.b1 11913b1 \([1, 1, 1, 21, -510]\) \(2828663/323433\) \(-116759313\) \([]\) \(4320\) \(0.22735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11913.b do not have complex multiplication.

Modular form 11913.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - 2 q^{5} + q^{6} + 3 q^{7} + 3 q^{8} + q^{9} + 2 q^{10} - q^{11} + q^{12} + 6 q^{13} - 3 q^{14} + 2 q^{15} - q^{16} - 3 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display