Properties

Label 146523.ba
Number of curves $1$
Conductor $146523$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 146523.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.ba1 146523u1 \([1, 0, 1, 243187, -242975185]\) \(2307174311/38336139\) \(-26428670021942265051\) \([]\) \(3110400\) \(2.4073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 146523.ba do not have complex multiplication.

Modular form 146523.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} - 2 q^{7} - 3 q^{8} + q^{9} + q^{10} - 3 q^{11} - q^{12} - 2 q^{14} + q^{15} - q^{16} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display