Properties

Label 6760k
Number of curves $1$
Conductor $6760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 6760k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6760.f1 6760k1 \([0, -1, 0, -9520, 359657]\) \(7311616/25\) \(326292288400\) \([]\) \(9984\) \(1.0728\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6760k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6760k do not have complex multiplication.

Modular form 6760.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} - 2 q^{9} + 5 q^{11} - q^{15} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display