Properties

Label 40656.bx
Number of curves $1$
Conductor $40656$
CM no
Rank $0$

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

Elliptic curves in class 40656.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.bx1 40656ct1 \([0, 1, 0, 5768, 933524]\) \(24167/441\) \(-387204163670016\) \([]\) \(202752\) \(1.4796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656.bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40656.bx do not have complex multiplication.

Modular form 40656.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} - q^{7} + q^{9} + 7 q^{13} - 3 q^{15} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display