Properties

Label 443760.n
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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

Elliptic curves in class 443760.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.n1 443760n1 \([0, -1, 0, -616, 60880]\) \(-3698/225\) \(-1575383500800\) \([]\) \(537600\) \(1.0203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760.n do not have complex multiplication.

Modular form 443760.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + 3 q^{11} + q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display