Properties

Label 18928v
Number of curves $1$
Conductor $18928$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 18928v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.u1 18928v1 \([0, 0, 0, -98696, -11960468]\) \(-86044336128/218491\) \(-269981267256064\) \([]\) \(80640\) \(1.6459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928v1 has rank \(1\).

Complex multiplication

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

Modular form 18928.2.a.v

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