Properties

Label 86394.y
Number of curves $1$
Conductor $86394$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 86394.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86394.y1 86394v1 \([1, 0, 1, 118, -8956]\) \(12562583/2379048\) \(-34831641768\) \([]\) \(82944\) \(0.70206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86394.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 86394.y do not have complex multiplication.

Modular form 86394.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} + 2 q^{10} + q^{12} - 3 q^{13} + q^{14} - 2 q^{15} + q^{16} - q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display