Properties

Label 155526.by
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 155526.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.by1 155526bj1 \([1, 1, 1, -2748166, -15305257213]\) \(-2689684081/117006336\) \(-99852907716527228411904\) \([]\) \(13837824\) \(3.0932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526.by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155526.by do not have complex multiplication.

Modular form 155526.2.a.by

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{8} + q^{9} - q^{10} + 3 q^{11} - q^{12} + 2 q^{13} + q^{15} + q^{16} + 2 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display