Properties

Label 66924.i
Number of curves $1$
Conductor $66924$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 66924.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66924.i1 66924a1 \([0, 0, 0, -256258080, 1578935820852]\) \(-452770725888000/14641\) \(-60179533503515382528\) \([]\) \(5301504\) \(3.2970\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66924.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66924.i do not have complex multiplication.

Modular form 66924.2.a.i

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