Properties

Label 466578bd
Number of curves $1$
Conductor $466578$
CM no
Rank $1$

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

Elliptic curves in class 466578bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.bd1 466578bd1 \([1, -1, 0, -49773180, -138740933808]\) \(-12078102267/376832\) \(-425460215487811668885504\) \([]\) \(89413632\) \(3.3106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466578bd do not have complex multiplication.

Modular form 466578.2.a.bd

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