Properties

Label 546.c
Number of curves 11
Conductor 546546
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("c1")
 
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][1, 0, 1, -8, -10] 47045881/8736-47045881/8736 8736-8736 [][] 4040 0.51926-0.51926 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 546.c1 has rank 00.

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)
 
qq2+q3+q4+q5q6q7q8+q9q10+3q11+q12q13+q14+q15+q16+5q17q18+q19+O(q20)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + 3 q^{11} + q^{12} - q^{13} + q^{14} + q^{15} + q^{16} + 5 q^{17} - q^{18} + q^{19} + O(q^{20}) Copy content Toggle raw display