Properties

Label 440818n
Number of curves $1$
Conductor $440818$
CM no
Rank $2$

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

Elliptic curves in class 440818n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440818.n1 440818n1 \([1, -1, 1, -154564464, -739466224941]\) \(116262290148949233/22166953984\) \(77860970424812255371264\) \([]\) \(216103680\) \(3.3933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440818n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 440818n do not have complex multiplication.

Modular form 440818.2.a.n

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