Properties

Label 100016j
Number of curves $1$
Conductor $100016$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 100016j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.m1 100016j1 \([0, 1, 0, 76, 104]\) \(187153328/118769\) \(-30404864\) \([]\) \(21888\) \(0.12484\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016j1 has rank \(0\).

Complex multiplication

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

Modular form 100016.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} - q^{7} - 2 q^{9} - 5 q^{11} - 2 q^{13} + 3 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display