Properties

Label 168200.y
Number of curves $1$
Conductor $168200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 168200.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
168200.y1 168200k1 \([0, 0, 0, 105125, -30486250]\) \(270\) \(-475858656800000000\) \([]\) \(2808960\) \(2.0748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 168200.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 168200.y do not have complex multiplication.

Modular form 168200.2.a.y

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 2 q^{7} + 6 q^{9} - q^{11} + 4 q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display