Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 8016.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8016.i1 8016d1 \([0, 1, 0, 160, 2196]\) \(219804478/1095687\) \(-2243966976\) \([]\) \(3584\) \(0.47653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8016.i1 has rank \(1\).

Complex multiplication

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

Modular form 8016.2.a.i

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