Properties

Label 127050bt
Number of curves $1$
Conductor $127050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 127050bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127050.j1 127050bt1 \([1, 1, 0, -21485, -1236825]\) \(-72521367806261/1093705578\) \(-16542296867250\) \([]\) \(404352\) \(1.3395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127050bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 127050bt do not have complex multiplication.

Modular form 127050.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - q^{12} - 2 q^{13} + q^{14} + q^{16} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display