Properties

Label 55545s
Number of curves $1$
Conductor $55545$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 55545s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55545.r1 55545s1 \([0, 1, 1, -32445, 2536256]\) \(-48234496/7875\) \(-616699009087875\) \([]\) \(211968\) \(1.5655\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 55545s do not have complex multiplication.

Modular form 55545.2.a.s

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