Properties

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

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

Elliptic curves in class 9450.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.bd1 9450x1 \([1, -1, 0, -2367, -41459]\) \(15454515/896\) \(85050000000\) \([]\) \(10080\) \(0.85100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 9450.bd do not have complex multiplication.

Modular form 9450.2.a.bd

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