Properties

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

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 121242.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.bh1 121242be1 \([1, 0, 0, -240941, 45497937]\) \(1162192035291512939/95742590976\) \(127433388589056\) \([]\) \(1233792\) \(1.7510\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242.bh1 has rank \(1\).

Complex multiplication

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

Modular form 121242.2.a.bh

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