Properties

Label 11858k
Number of curves $1$
Conductor $11858$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 11858k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.m1 11858k1 \([1, 0, 1, -47, 130]\) \(-268279/32\) \(-1328096\) \([]\) \(1920\) \(-0.089548\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858k1 has rank \(1\).

Complex multiplication

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

Modular form 11858.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2 q^{5} - q^{6} - q^{8} - 2 q^{9} + 2 q^{10} + q^{12} + q^{13} - 2 q^{15} + q^{16} + 6 q^{17} + 2 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display