Properties

Label 100016.d
Number of curves $1$
Conductor $100016$
CM no
Rank $1$

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

Elliptic curves in class 100016.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.d1 100016n1 \([0, -1, 0, -152, 1264]\) \(-95443993/100016\) \(-409665536\) \([]\) \(36864\) \(0.34777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100016.d do not have complex multiplication.

Modular form 100016.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - q^{7} - 2 q^{9} + 4 q^{13} + 3 q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display