Properties

Label 141570bx
Number of curves $1$
Conductor $141570$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 141570bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.dl1 141570bx1 \([1, -1, 1, -23, -175953]\) \(-14641/151632000\) \(-13375307088000\) \([]\) \(290304\) \(1.1976\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141570bx do not have complex multiplication.

Modular form 141570.2.a.bx

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