Properties

Label 379050.bx
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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

Elliptic curves in class 379050.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.bx1 379050bx1 \([1, 1, 0, 733429975, -56373451786875]\) \(59355100650962613671/1902001541078016000\) \(-1398145908802702382064000000000\) \([]\) \(566092800\) \(4.4644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379050.bx do not have complex multiplication.

Modular form 379050.2.a.bx

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + q^{11} - q^{12} + 3 q^{13} - q^{14} + q^{16} - 4 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display