Properties

Label 236992.bc
Number of curves $1$
Conductor $236992$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bc1 236992bc1 \([0, -1, 0, 2239, -19487]\) \(8947391/6272\) \(-869764431872\) \([]\) \(387072\) \(0.97947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.bc1 has rank \(0\).

Complex multiplication

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

Modular form 236992.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4q^{5} + q^{7} - 2q^{9} - 2q^{13} - 4q^{15} + 5q^{17} - 7q^{19} + O(q^{20})\)  Toggle raw display