Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("193600.ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.ba1 193600u1 [0, 1, 0, -100833, -11909537] [] 1105920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600.ba1 has rank \(1\).

Modular form 193600.2.a.ba

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