Properties

Label 6534.t
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 6534.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.t1 6534u1 \([1, -1, 1, -2201, -41335]\) \(-2738019/176\) \(-75766120848\) \([]\) \(5760\) \(0.84073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 6534.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} - q^{7} + q^{8} - 2 q^{10} + 2 q^{13} - q^{14} + q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display