Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 146523.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.b1 146523g1 \([0, -1, 1, 161846, 173817750]\) \(692224/19683\) \(-13331271698848778571\) \([]\) \(4537728\) \(2.3498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523.b1 has rank \(1\).

Complex multiplication

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

Modular form 146523.2.a.b

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