Properties

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

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 127050bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127050.u1 127050bw1 \([1, 1, 0, 13550, 23651500]\) \(397535/349272\) \(-241701817809375000\) \([]\) \(2073600\) \(2.0146\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127050bw1 has rank \(1\).

Complex multiplication

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

Modular form 127050.2.a.bw

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - q^{12} + 3 q^{13} + q^{14} + q^{16} + 6 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display