Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 209484.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
209484.bl1 209484bs1 \([0, 0, 0, -2518569, 1538285977]\) \(98724096/11\) \(196858781287260048\) \([]\) \(3285504\) \(2.3471\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 209484.bl1 has rank \(0\).

Complex multiplication

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

Modular form 209484.2.a.bl

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - 2 q^{7} + q^{11} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display