Properties

Label 45486g
Number of curves $1$
Conductor $45486$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 45486g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
45486.p1 45486g1 \([1, -1, 0, -531279, -149540499]\) \(-174562192958689/846526464\) \(-80423407804594176\) \([]\) \(506880\) \(2.0925\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45486g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 45486g do not have complex multiplication.

Modular form 45486.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - q^{13} + q^{14} + q^{16} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display