Properties

Label 203280.fb
Number of curves $1$
Conductor $203280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fb1")
 
E.isogeny_class()
 

Elliptic curves in class 203280.fb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203280.fb1 203280bk1 \([0, 1, 0, -254261, 159423075]\) \(-250523582464/1369738755\) \(-9939254307006689280\) \([]\) \(3456000\) \(2.3293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203280.fb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 203280.fb do not have complex multiplication.

Modular form 203280.2.a.fb

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