Properties

Label 4680.n
Number of curves $1$
Conductor $4680$
CM no
Rank $1$

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

Elliptic curves in class 4680.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4680.n1 4680d1 \([0, 0, 0, 1668, 680756]\) \(74251994112/29007265625\) \(-200498220000000\) \([]\) \(13440\) \(1.4234\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4680.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4680.n do not have complex multiplication.

Modular form 4680.2.a.n

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