Properties

Label 66880.bd
Number of curves $1$
Conductor $66880$
CM no
Rank $1$

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

Elliptic curves in class 66880.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66880.bd1 66880cj1 \([0, -1, 0, -3041, -372095]\) \(-11867954041/222543200\) \(-58338364620800\) \([]\) \(122880\) \(1.3225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66880.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66880.bd do not have complex multiplication.

Modular form 66880.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} - 2 q^{9} + q^{11} - q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display