Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bt1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bt1 236992bt1 \([0, 1, 0, 1184255, -227623841]\) \(8947391/6272\) \(-128756350892751454208\) \([]\) \(8902656\) \(2.5472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.bt1 has rank \(1\).

Complex multiplication

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

Modular form 236992.2.a.bt

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