Properties

Label 106722.bd
Number of curves $1$
Conductor $106722$
CM no
Rank $1$

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

Elliptic curves in class 106722.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.bd1 106722cd1 \([1, -1, 0, 33192, -12021696]\) \(48013/768\) \(-64687295593122048\) \([]\) \(1013760\) \(1.9063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106722.bd do not have complex multiplication.

Modular form 106722.2.a.bd

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