Properties

Label 11858.q
Number of curves $1$
Conductor $11858$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 11858.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.q1 11858d1 \([1, 1, 0, -6052, 160560]\) \(290521/32\) \(2700878446112\) \([]\) \(40320\) \(1.1188\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858.q1 has rank \(0\).

Complex multiplication

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

Modular form 11858.2.a.q

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