Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 86394.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86394.c1 86394n1 \([1, 1, 0, -139394, 19886706]\) \(11548723153/57834\) \(1500065014374234\) \([]\) \(686400\) \(1.7591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86394.c1 has rank \(1\).

Complex multiplication

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

Modular form 86394.2.a.c

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