Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 100016.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.o1 100016g1 \([0, 0, 0, -34, 299]\) \(-271669248/2256611\) \(-36105776\) \([]\) \(46080\) \(0.13289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016.o1 has rank \(1\).

Complex multiplication

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

Modular form 100016.2.a.o

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + q^{7} + 6 q^{9} + 4 q^{11} + 4 q^{13} - 9 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display