Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 18928s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.d1 18928s1 \([0, 0, 0, 8957, 549250]\) \(4019679/8918\) \(-176314296983552\) \([]\) \(145152\) \(1.4178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928s1 has rank \(0\).

Complex multiplication

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

Modular form 18928.2.a.s

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 4 q^{5} - q^{7} + 6 q^{9} + q^{11} - 12 q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display