Properties

Label 22218.bd
Number of curves $1$
Conductor $22218$
CM no
Rank $1$

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

Elliptic curves in class 22218.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.bd1 22218bj1 \([1, 0, 0, 4811773, -2725907391]\) \(83228502970940543/69854999176704\) \(-10341046904217644729856\) \([]\) \(2090880\) \(2.9119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22218.bd do not have complex multiplication.

Modular form 22218.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - 3q^{10} - 4q^{11} + q^{12} - 3q^{13} + q^{14} - 3q^{15} + q^{16} + 4q^{17} + q^{18} + O(q^{20})\)  Toggle raw display