Properties

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

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.cc1 187200l1 \([0, 0, 0, -2182080, -1261722400]\) \(-769623354048512/15247889631\) \(-22764977235965952000\) \([]\) \(4300800\) \(2.5072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.cc1 has rank \(0\).

Complex multiplication

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

Modular form 187200.2.a.cc

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