Properties

Label 281775.n
Number of curves $1$
Conductor $281775$
CM no
Rank $0$

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

Elliptic curves in class 281775.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.n1 281775n1 \([1, 1, 1, 3462, 571356]\) \(304175/9477\) \(-142969838383125\) \([]\) \(633600\) \(1.3961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 281775.n do not have complex multiplication.

Modular form 281775.2.a.n

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