Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 286110j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.j1 286110j1 \([1, -1, 0, 60075, 6747381]\) \(113808739434191/159630704640\) \(-33631156484259840\) \([]\) \(2483712\) \(1.8568\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110j1 has rank \(0\).

Complex multiplication

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

Modular form 286110.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 2 q^{7} - q^{8} + q^{10} - q^{11} - 6 q^{13} + 2 q^{14} + q^{16} - q^{19} + O(q^{20})\) Copy content Toggle raw display