Properties

Label 165620d
Number of curves $1$
Conductor $165620$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 165620d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
165620.b1 165620d1 \([0, 0, 0, 264992, -159757052]\) \(14155776/84035\) \(-12216548504387951360\) \([]\) \(6462720\) \(2.3444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 165620d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 165620d do not have complex multiplication.

Modular form 165620.2.a.d

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