Properties

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

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.by1 9450n1 \([1, -1, 0, -26367, -1382959]\) \(1171875/196\) \(339070429687500\) \([]\) \(60480\) \(1.5092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.by1 has rank \(0\).

Complex multiplication

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

Modular form 9450.2.a.by

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