Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 8016.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8016.a1 8016g1 \([0, -1, 0, -432, -5184]\) \(-2181825073/1731456\) \(-7092043776\) \([]\) \(5376\) \(0.58865\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8016.a1 has rank \(1\).

Complex multiplication

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

Modular form 8016.2.a.a

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