Properties

Label 5520.t
Number of curves $1$
Conductor $5520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 5520.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.t1 5520h1 \([0, 1, 0, -281, 54099]\) \(-9619385344/4950372915\) \(-1267295466240\) \([]\) \(6144\) \(1.0014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5520.t do not have complex multiplication.

Modular form 5520.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 3 q^{7} + q^{9} + 2 q^{11} + 2 q^{13} - q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display