Properties

Label 193600.k
Number of curves $1$
Conductor $193600$
CM no
Rank $1$

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

Elliptic curves in class 193600.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.k1 193600fp1 \([0, 0, 0, 7320500, 8052550000]\) \(3267/4\) \(-53119845582848000000000\) \([]\) \(26357760\) \(3.0467\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600.k1 has rank \(1\).

Complex multiplication

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

Modular form 193600.2.a.k

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