Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 6760a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6760.e1 6760a1 \([0, -1, 0, -56, 181]\) \(7311616/25\) \(67600\) \([]\) \(768\) \(-0.20972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6760a1 has rank \(1\).

Complex multiplication

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

Modular form 6760.2.a.a

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