Properties

Label 121680.n
Number of curves $1$
Conductor $121680$
CM no
Rank $0$

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

Elliptic curves in class 121680.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.n1 121680x1 \([0, 0, 0, -85683, 371293]\) \(43264/25\) \(40199536223168400\) \([]\) \(898560\) \(1.8756\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 121680.n do not have complex multiplication.

Modular form 121680.2.a.n

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