Properties

Label 18928k
Number of curves $1$
Conductor $18928$
CM no
Rank $0$

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

Elliptic curves in class 18928k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.t1 18928k1 \([0, 0, 0, 169, 338]\) \(73008/49\) \(-358269184\) \([]\) \(5760\) \(0.33012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 18928k do not have complex multiplication.

Modular form 18928.2.a.k

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{7} - 3 q^{9} + 2 q^{11} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display