Properties

Label 286650.bd
Number of curves 1
Conductor 286650
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("286650.bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 286650.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
286650.bd1 286650bd1 [1, -1, 0, -5742, -162324] [] 414720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.bd1 has rank \(2\).

Modular form 286650.2.a.bd

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} - 4q^{11} - q^{13} + q^{16} + 3q^{17} - 2q^{19} + O(q^{20}) \)