Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 18928.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.b1 18928bd1 \([0, 0, 0, -59995, -123519734]\) \(-1207949625/332678528\) \(-6577257320682094592\) \([]\) \(564480\) \(2.2901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928.b1 has rank \(1\).

Complex multiplication

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

Modular form 18928.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} - 5 q^{11} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display