Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 40656.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.r1 40656g1 \([0, -1, 0, -19521, -876291]\) \(123904/21\) \(139439594654976\) \([]\) \(118272\) \(1.4348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656.r1 has rank \(0\).

Complex multiplication

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

Modular form 40656.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display