Properties

Label 6534t
Number of curves $1$
Conductor $6534$
CM no
Rank $1$

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

Elliptic curves in class 6534t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.v1 6534t1 \([1, -1, 1, -132518, -12801995]\) \(6777507/2048\) \(77768770954254336\) \([]\) \(52272\) \(1.9462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6534t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6534t do not have complex multiplication.

Modular form 6534.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 2 q^{7} + q^{8} - q^{10} + 2 q^{14} + q^{16} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display