Properties

Label 193600fp
Number of curves 1
Conductor 193600
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("193600.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600fp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.k1 193600fp1 [0, 0, 0, 7320500, 8052550000] [] 26357760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600fp1 has rank \(1\).

Modular form 193600.2.a.k

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{7} + 6q^{9} + 6q^{13} - 4q^{17} + 2q^{19} + O(q^{20}) \)