Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 11913.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11913.i1 11913h1 \([0, 1, 1, 32, 7]\) \(512000/297\) \(-2037123\) \([]\) \(3120\) \(-0.099958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11913.i1 has rank \(1\).

Complex multiplication

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

Modular form 11913.2.a.i

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