Properties

Label 193600.e
Number of curves 1
Conductor 193600
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("193600.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.e1 193600fo1 [0, 0, 0, -2843500, -7120850000] [] 20275200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600.e1 has rank \(1\).

Modular form 193600.2.a.e

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - q^{7} + 6q^{9} - 5q^{17} - 7q^{19} + O(q^{20}) \)