Properties

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

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Show commands: SageMath
E = EllipticCurve("fn1")
 
E.isogeny_class()
 

Elliptic curves in class 193600fn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.d1 193600fn1 \([0, 0, 0, 60500, -6050000]\) \(3267/4\) \(-29984768000000000\) \([]\) \(2396160\) \(1.8477\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600fn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 193600fn do not have complex multiplication.

Modular form 193600.2.a.fn

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