Properties

Label 209484.bf
Number of curves $1$
Conductor $209484$
CM no
Rank $0$

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

Elliptic curves in class 209484.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
209484.bf1 209484z1 \([0, 0, 0, -49197, 6704017]\) \(-7626496/6831\) \(-11795023552100976\) \([]\) \(1216512\) \(1.7809\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 209484.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 209484.bf do not have complex multiplication.

Modular form 209484.2.a.bf

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