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Properties

Label 411840.bf
Number of curves $1$
Conductor $411840$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 411840.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 411840.bf do not have complex multiplication.

Modular form 411840.2.a.bf

Copy content sage:E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - q^{11} - q^{13} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 411840.bf

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
411840.bf1 411840bf1 \([0, 0, 0, -108, 5750352]\) \(-27/2768480\) \(-14284748708904960\) \([]\) \(2764800\) \(1.7787\) \(\Gamma_0(N)\)-optimal