Properties

Label 67280n
Number of curves $1$
Conductor $67280$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 67280n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67280.h1 67280n1 \([0, 0, 0, -203, -1798]\) \(-268569/250\) \(-861184000\) \([]\) \(30240\) \(0.41101\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67280n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67280n do not have complex multiplication.

Modular form 67280.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} - 3 q^{9} + 5 q^{11} - 3 q^{13} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display