Properties

Label 11858.ba
Number of curves $1$
Conductor $11858$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 11858.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.ba1 11858bb1 \([1, 1, 1, -1240, 16281]\) \(3233229419/2048\) \(133568512\) \([]\) \(9504\) \(0.50041\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11858.ba do not have complex multiplication.

Modular form 11858.2.a.ba

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