Properties

Label 6534.d
Number of curves $1$
Conductor $6534$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 6534.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.d1 6534l1 \([1, -1, 0, 522, 22644]\) \(4416621/65536\) \(-233161555968\) \([]\) \(5760\) \(0.86190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6534.d1 has rank \(1\).

Complex multiplication

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

Modular form 6534.2.a.d

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