Properties

Label 116610c
Number of curves $1$
Conductor $116610$
CM no
Rank $1$

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

Elliptic curves in class 116610c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116610.b1 116610c1 \([1, 1, 0, -12678, -232812]\) \(276301129/132480\) \(108068005918080\) \([]\) \(384384\) \(1.3866\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116610c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 116610c do not have complex multiplication.

Modular form 116610.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - 2 q^{7} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + 2 q^{14} + q^{15} + q^{16} + 3 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display