Properties

Label 465690f
Number of curves $1$
Conductor $465690$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 465690f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.f1 465690f1 \([1, 1, 0, -704318, -229847628]\) \(-821314391438449/8576539200\) \(-403490842595035200\) \([]\) \(8294400\) \(2.1955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 465690f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 465690f do not have complex multiplication.

Modular form 465690.2.a.f

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