Properties

Label 8016.c
Number of curves $1$
Conductor $8016$
CM no
Rank $1$

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

Elliptic curves in class 8016.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8016.c1 8016b1 \([0, -1, 0, -296, 2064]\) \(-1405190738/1503\) \(-3078144\) \([]\) \(1152\) \(0.16131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8016.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8016.c do not have complex multiplication.

Modular form 8016.2.a.c

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