Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 100016c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.l1 100016c1 \([0, 1, 0, -94316, -22437604]\) \(-362446969457861584/637436754121139\) \(-163183809055011584\) \([]\) \(743424\) \(1.9932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016c1 has rank \(0\).

Complex multiplication

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

Modular form 100016.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} - 2 q^{9} + 2 q^{11} - q^{15} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display