Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("193600.y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600fx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.y1 193600fx1 [0, 1, 0, -347233, -78868737] [] 1437696 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 193600.2.a.y

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