Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 146523.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.o1 146523m1 \([1, 0, 0, 41098684, -533857579581]\) \(2307174311/38336139\) \(-127566142319941122428552259\) \([]\) \(40435200\) \(3.6898\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523.o1 has rank \(0\).

Complex multiplication

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

Modular form 146523.2.a.o

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