Properties

Label 17640.bw
Number of curves $1$
Conductor $17640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 17640.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17640.bw1 17640z1 \([0, 0, 0, -147, 4606]\) \(-196/5\) \(-8961684480\) \([]\) \(8640\) \(0.59030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17640.bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17640.bw do not have complex multiplication.

Modular form 17640.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{11} - 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display