Properties

Label 8016g
Number of curves $1$
Conductor $8016$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8016g

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 8016g1 has rank \(1\).

Complex multiplication

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

Modular form 8016.2.a.g

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