Properties

Label 14994.n
Number of curves $1$
Conductor $14994$
CM no
Rank $1$

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

Elliptic curves in class 14994.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.n1 14994h1 \([1, -1, 0, -2445, -38683]\) \(1676381427/278528\) \(268631064576\) \([]\) \(16128\) \(0.91436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14994.n do not have complex multiplication.

Modular form 14994.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + 2 q^{11} + q^{13} + q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display