Properties

Label 16575.d
Number of curves $1$
Conductor $16575$
CM no
Rank $0$

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

Elliptic curves in class 16575.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16575.d1 16575e1 \([0, 1, 1, -133, -731]\) \(-16777216/3315\) \(-51796875\) \([]\) \(4032\) \(0.20328\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16575.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16575.d do not have complex multiplication.

Modular form 16575.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - 2 q^{7} + q^{9} + 2 q^{11} - 2 q^{12} - q^{13} + 4 q^{16} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display