Properties

Label 17136w
Number of curves $1$
Conductor $17136$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 17136w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17136.o1 17136w1 \([0, 0, 0, -768, -30224]\) \(-16777216/122451\) \(-365636726784\) \([]\) \(18432\) \(0.90184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17136w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17136w do not have complex multiplication.

Modular form 17136.2.a.w

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