Properties

Label 256880.do
Number of curves $1$
Conductor $256880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("do1")
 
E.isogeny_class()
 

Elliptic curves in class 256880.do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
256880.do1 256880do1 \([0, 0, 0, -128947, -19030414]\) \(-11993263569/972800\) \(-19232849081139200\) \([]\) \(4942080\) \(1.8708\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 256880.do1 has rank \(0\).

Complex multiplication

The elliptic curves in class 256880.do do not have complex multiplication.

Modular form 256880.2.a.do

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} - 5 q^{7} + 6 q^{9} - 4 q^{11} + 3 q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display