Properties

Label 9450.bd
Number of curves 1
Conductor 9450
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("9450.bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9450.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9450.bd1 9450x1 [1, -1, 0, -2367, -41459] [] 10080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.bd1 has rank \(1\).

Modular form 9450.2.a.bd

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} + q^{7} - q^{8} - 4q^{11} + q^{13} - q^{14} + q^{16} + q^{17} + 5q^{19} + O(q^{20}) \)