Properties

Label 9450.bf
Number of curves $1$
Conductor $9450$
CM no
Rank $0$

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

Elliptic curves in class 9450.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.bf1 9450m1 \([1, -1, 0, -42, -154]\) \(-16875/14\) \(-6889050\) \([]\) \(2376\) \(0.010025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.bf1 has rank \(0\).

Complex multiplication

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

Modular form 9450.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 2 q^{11} - 6 q^{13} - q^{14} + q^{16} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display