Properties

Label 193600fx
Number of curves $1$
Conductor $193600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fx1")
 
E.isogeny_class()
 

Elliptic curves in class 193600fx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.y1 193600fx1 \([0, 1, 0, -347233, -78868737]\) \(233551483825/8192\) \(162403450880000\) \([]\) \(1437696\) \(1.8168\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600fx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 193600fx do not have complex multiplication.

Modular form 193600.2.a.fx

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