Properties

Label 443822l
Number of curves $1$
Conductor $443822$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 443822l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443822.l1 443822l1 \([1, 0, 0, -509, 2549]\) \(5192525593/1972156\) \(5539786204\) \([]\) \(256608\) \(0.56900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443822l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443822l do not have complex multiplication.

Modular form 443822.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 2 q^{5} + q^{6} + q^{8} - 2 q^{9} - 2 q^{10} + 2 q^{11} + q^{12} + q^{13} - 2 q^{15} + q^{16} + 8 q^{17} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display