Properties

Label 466578.bf
Number of curves $1$
Conductor $466578$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 466578.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.bf1 466578bf1 \([1, -1, 0, 2435143485, -34952024045611]\) \(13581780628779/12348030976\) \(-1451905595523608958063328886784\) \([]\) \(576221184\) \(4.4749\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.bf1 has rank \(1\).

Complex multiplication

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

Modular form 466578.2.a.bf

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