Properties

Label 9680n
Number of curves $1$
Conductor $9680$
CM no
Rank $0$

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

Elliptic curves in class 9680n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.bd1 9680n1 \([0, 0, 0, 77, 242]\) \(9261/10\) \(-54517760\) \([]\) \(5760\) \(0.17112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9680n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9680n do not have complex multiplication.

Modular form 9680.2.a.n

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + 5 q^{7} + 6 q^{9} + 4 q^{13} - 3 q^{15} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display