Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("193600.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600fv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.q1 193600fv1 [0, 0, 0, 7700, -242000] [] 1105920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600fv1 has rank \(1\).

Modular form 193600.2.a.q

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 5q^{7} + 6q^{9} + 4q^{13} + q^{17} - 5q^{19} + O(q^{20}) \)