Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 11913.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.h1 11913g1 \([1, 0, 1, -19863, -832301]\) \(51026761/11979\) \(203446101668139\) \([]\) \(41040\) \(1.4573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913.h1 has rank \(1\).

Complex multiplication

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

Modular form 11913.2.a.h

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