Properties

Label 200016.d
Number of curves $1$
Conductor $200016$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 200016.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200016.d1 200016d1 \([0, 0, 0, -51, -222]\) \(-530604/463\) \(-12801024\) \([]\) \(43392\) \(0.061044\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200016.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200016.d do not have complex multiplication.

Modular form 200016.2.a.d

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{7} - 6 q^{11} - 4 q^{13} + q^{19} + O(q^{20})\) Copy content Toggle raw display