Properties

Label 39200.k
Number of curves $1$
Conductor $39200$
CM no
Rank $0$

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

Elliptic curves in class 39200.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39200.k1 39200bn1 \([0, 1, 0, -20008, 1304988]\) \(-19208/5\) \(-230592040000000\) \([]\) \(112896\) \(1.4730\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39200.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 39200.k do not have complex multiplication.

Modular form 39200.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + 3 q^{11} + q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display