Properties

Label 206400.ge
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ge1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.ge

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.ge1 206400fm1 \([0, 1, 0, -51583, 4636463]\) \(-607172247040/22851963\) \(-571299075000000\) \([]\) \(806400\) \(1.6019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.ge1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206400.ge do not have complex multiplication.

Modular form 206400.2.a.ge

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{7} + q^{9} - 4 q^{11} - 2 q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display