Properties

Label 100016.f
Number of curves 1
Conductor 100016
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("100016.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100016.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100016.f1 100016f1 [0, -1, 0, -35, 94] [] 7680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016.f1 has rank \(1\).

Modular form 100016.2.a.f

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{5} + q^{7} - 2q^{9} + 2q^{11} + 4q^{13} - q^{15} - 6q^{17} - q^{19} + O(q^{20}) \)