Properties

Label 236992.bw
Number of curves $1$
Conductor $236992$
CM no
Rank $2$

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

Elliptic curves in class 236992.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bw1 236992bw1 \([0, 1, 0, 3527, 624847]\) \(32000/1127\) \(-170840521628672\) \([]\) \(405504\) \(1.4109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.bw1 has rank \(2\).

Complex multiplication

The elliptic curves in class 236992.bw do not have complex multiplication.

Modular form 236992.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2 q^{9} - 2 q^{11} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display