Properties

Label 106722bh
Number of curves $1$
Conductor $106722$
CM no
Rank $1$

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

Elliptic curves in class 106722bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.e1 106722bh1 \([1, -1, 0, -134514, -21152356]\) \(-395307/56\) \(-38131291282042728\) \([]\) \(1520640\) \(1.9127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106722bh do not have complex multiplication.

Modular form 106722.2.a.bh

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