Properties

Label 549c
Number of curves $1$
Conductor $549$
CM no
Rank $0$

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

Elliptic curves in class 549c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
549.c1 549c1 \([1, -1, 0, -18, -27]\) \(-912673/61\) \(-44469\) \([]\) \(48\) \(-0.35615\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 549c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 549c do not have complex multiplication.

Modular form 549.2.a.c

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