Properties

Label 6534d
Number of curves $1$
Conductor $6534$
CM no
Rank $0$

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

Elliptic curves in class 6534d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.i1 6534d1 \([1, -1, 0, -14724, 479056]\) \(6777507/2048\) \(106678698153984\) \([]\) \(17424\) \(1.3969\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6534d1 has rank \(0\).

Complex multiplication

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

Modular form 6534.2.a.d

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