Properties

Label 187200.ck
Number of curves $1$
Conductor $187200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.ck1 187200gm1 \([0, 0, 0, -411750, -101756250]\) \(-3137785344/2197\) \(-5405443875000000\) \([]\) \(1382400\) \(1.9553\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 187200.ck do not have complex multiplication.

Modular form 187200.2.a.ck

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{11} + q^{13} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display