Properties

Label 5445.k
Number of curves $1$
Conductor $5445$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 5445.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5445.k1 5445a1 \([0, 0, 1, -3993, -98827]\) \(-1216512/25\) \(-144692244675\) \([]\) \(10560\) \(0.93302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5445.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5445.k do not have complex multiplication.

Modular form 5445.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{5} + 3 q^{7} - 2 q^{10} + 2 q^{13} + 6 q^{14} - 4 q^{16} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display