Properties

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

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 18928.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.z1 18928p1 \([0, -1, 0, -901, -18903]\) \(-65536/91\) \(-112445342464\) \([]\) \(16128\) \(0.81287\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928.z1 has rank \(0\).

Complex multiplication

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

Modular form 18928.2.a.z

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} - q^{7} + q^{9} - 4 q^{11} - 2 q^{15} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display