Properties

Label 5390.t
Number of curves $1$
Conductor $5390$
CM no
Rank $0$

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

Elliptic curves in class 5390.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5390.t1 5390k1 \([1, -1, 0, -1969, -3025]\) \(351716516361/201313750\) \(483354313750\) \([]\) \(16320\) \(0.93172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5390.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5390.t do not have complex multiplication.

Modular form 5390.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} + q^{5} - 3 q^{6} - q^{8} + 6 q^{9} - q^{10} - q^{11} + 3 q^{12} - q^{13} + 3 q^{15} + q^{16} - 6 q^{17} - 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display