Properties

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

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 40656.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.dj1 40656w1 \([0, 1, 0, 1896, -75132]\) \(50250332/194481\) \(-2915733832704\) \([]\) \(61440\) \(1.0745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656.dj1 has rank \(1\).

Complex multiplication

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

Modular form 40656.2.a.dj

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} - q^{7} + q^{9} - q^{13} + 3 q^{15} - 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display