Properties

Label 546.a
Number of curves $1$
Conductor $546$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 546.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
546.a1 546a1 \([1, 1, 0, -108, -486]\) \(-141339344329/2167074\) \(-2167074\) \([]\) \(120\) \(0.018178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 546.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 546.a do not have complex multiplication.

Modular form 546.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} - q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + q^{13} + q^{14} + q^{15} + q^{16} - q^{17} - q^{18} + 7q^{19} + O(q^{20})\)  Toggle raw display