Properties

Label 4851.n
Number of curves $1$
Conductor $4851$
CM no
Rank $1$

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

Elliptic curves in class 4851.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4851.n1 4851g1 \([1, -1, 0, 8811, 362074]\) \(17999471/24057\) \(-101100503071953\) \([]\) \(18816\) \(1.3731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4851.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4851.n do not have complex multiplication.

Modular form 4851.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 4 q^{5} - 3 q^{8} - 4 q^{10} + q^{11} - q^{16} + 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display