Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 18928.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.p1 18928u1 \([0, 0, 0, -393263, -95222374]\) \(-32209663824/117649\) \(-24568295320301824\) \([]\) \(134784\) \(2.0059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928.p1 has rank \(1\).

Complex multiplication

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

Modular form 18928.2.a.p

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