Properties

Label 41616.y
Number of curves $1$
Conductor $41616$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 41616.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41616.y1 41616b1 \([0, 0, 0, 31212, 530604]\) \(27648/17\) \(-2067634201768704\) \([]\) \(110592\) \(1.6279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41616.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 41616.y do not have complex multiplication.

Modular form 41616.2.a.y

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