Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 546.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
546.c1 546b1 \([1, 0, 1, -8, -10]\) \(-47045881/8736\) \(-8736\) \([]\) \(40\) \(-0.51926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 546.c1 has rank \(0\).

Complex multiplication

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

Modular form 546.2.a.c

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