Properties

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

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

Elliptic curves in class 100016.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.j1 100016l1 \([0, 0, 0, 85, -166]\) \(16581375/12502\) \(-51208192\) \([]\) \(14976\) \(0.16745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016.j1 has rank \(1\).

Complex multiplication

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

Modular form 100016.2.a.j

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