Properties

Label 121242.bi
Number of curves $1$
Conductor $121242$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 121242.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.bi1 121242bo1 \([1, 0, 0, 5899, 190257]\) \(187615592384231/237141728784\) \(-28694149182864\) \([]\) \(327168\) \(1.2683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242.bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121242.bi do not have complex multiplication.

Modular form 121242.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 4 q^{7} + q^{8} + q^{9} - q^{10} + q^{12} + q^{13} - 4 q^{14} - q^{15} + q^{16} + 3 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display