Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 6534r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.q1 6534r1 \([1, -1, 1, -749, -35043]\) \(-729/8\) \(-509316701256\) \([]\) \(9504\) \(0.92840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6534r1 has rank \(0\).

Complex multiplication

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

Modular form 6534.2.a.r

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