Properties

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

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 116610bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116610.y1 116610bd1 \([1, 0, 1, -2864, 58736]\) \(15365194032721/1293750\) \(218643750\) \([]\) \(94080\) \(0.64353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116610bd1 has rank \(1\).

Complex multiplication

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

Modular form 116610.2.a.bd

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