Properties

Label 5547d
Number of curves $1$
Conductor $5547$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5547d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5547.c1 5547d1 \([0, 1, 1, -35747, -2623132]\) \(-799178752/3483\) \(-22017307499667\) \([]\) \(14784\) \(1.4135\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5547d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5547d do not have complex multiplication.

Modular form 5547.2.a.d

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