Properties

Label 146523f
Number of curves $1$
Conductor $146523$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 146523f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.a1 146523f1 \([0, -1, 1, -1252, 28212]\) \(-53248/51\) \(-208041707211\) \([]\) \(262656\) \(0.86795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523f1 has rank \(1\).

Complex multiplication

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

Modular form 146523.2.a.f

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