Properties

Label 54450.bc
Number of curves $1$
Conductor $54450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 54450.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.bc1 54450bi1 \([1, -1, 0, -1595952, -775640354]\) \(-10461203195/162\) \(-6961722660292950\) \([]\) \(709632\) \(2.1749\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54450.bc do not have complex multiplication.

Modular form 54450.2.a.bc

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