Properties

Label 2800.bf
Number of curves $1$
Conductor $2800$
CM no
Rank $0$

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

Elliptic curves in class 2800.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.bf1 2800bf1 \([0, 0, 0, -40, -100]\) \(-221184/7\) \(-224000\) \([]\) \(576\) \(-0.19719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2800.bf do not have complex multiplication.

Modular form 2800.2.a.bf

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{7} + 6 q^{9} - 3 q^{11} - q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display