Properties

Label 286110ch
Number of curves $1$
Conductor $286110$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 286110ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.ch1 286110ch1 \([1, -1, 0, -2657409, -2966187187]\) \(-4368317413923/5475734000\) \(-2601519967414465218000\) \([]\) \(16588800\) \(2.8026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110ch1 has rank \(1\).

Complex multiplication

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

Modular form 286110.2.a.ch

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