Properties

Label 162450.n
Number of curves $1$
Conductor $162450$
CM no
Rank $0$

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

Elliptic curves in class 162450.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.n1 162450dl1 \([1, -1, 0, 12506958, 16830172116]\) \(1118413511/1280000\) \(-247620349137780000000000\) \([]\) \(21669120\) \(3.1752\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162450.n do not have complex multiplication.

Modular form 162450.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{7} - q^{8} + 3 q^{11} - 6 q^{13} + 2 q^{14} + q^{16} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display