Properties

Label 283746n
Number of curves $1$
Conductor $283746$
CM no
Rank $0$

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

Elliptic curves in class 283746n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283746.n1 283746n1 \([1, 0, 1, -310829, -66050200]\) \(70593496254289/824180736\) \(38774308828348416\) \([]\) \(3483648\) \(1.9953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283746n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 283746n do not have complex multiplication.

Modular form 283746.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - 3 q^{7} - q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + 2 q^{13} + 3 q^{14} - q^{15} + q^{16} - 5 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display