Properties

Label 40656a
Number of curves $1$
Conductor $40656$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 40656a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.ba1 40656a1 \([0, -1, 0, -260, 1839]\) \(-91625216/9261\) \(-197222256\) \([]\) \(13824\) \(0.33165\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656a1 has rank \(1\).

Complex multiplication

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

Modular form 40656.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} - q^{13} - q^{15} + 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display