Properties

Label 286110.cc
Number of curves $1$
Conductor $286110$
CM no
Rank $0$

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

Elliptic curves in class 286110.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.cc1 286110cc1 \([1, -1, 0, -43404, -16582960]\) \(-19034163/239360\) \(-113719881097278720\) \([]\) \(3096576\) \(1.9545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110.cc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286110.cc do not have complex multiplication.

Modular form 286110.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - q^{11} - q^{13} + q^{14} + q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display