Properties

Label 156702bz
Number of curves $1$
Conductor $156702$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 156702bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.ba1 156702bz1 \([1, 0, 1, -48389, 7396400]\) \(-106503164422201/139465138176\) \(-16407934041268224\) \([]\) \(1437696\) \(1.8043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 156702bz do not have complex multiplication.

Modular form 156702.2.a.bz

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