Properties

Label 166635v
Number of curves $1$
Conductor $166635$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 166635v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166635.bg1 166635v1 \([0, 0, 1, -552, 5652]\) \(-48234496/7875\) \(-3036922875\) \([]\) \(73728\) \(0.54705\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166635v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166635v do not have complex multiplication.

Modular form 166635.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} + q^{7} + 4 q^{11} + 3 q^{13} + 4 q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display