Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 146523.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.i1 146523e1 \([0, 1, 1, -2751376, -3125639942]\) \(-692224/867\) \(-2885002200962098795227\) \([]\) \(19588608\) \(2.8112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523.i1 has rank \(0\).

Complex multiplication

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

Modular form 146523.2.a.i

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