Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 6760m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6760.b1 6760m1 \([0, 0, 0, -1027, 12571]\) \(44302512384/390625\) \(1056250000\) \([]\) \(7680\) \(0.55504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6760m1 has rank \(1\).

Complex multiplication

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

Modular form 6760.2.a.m

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - 3 q^{7} + 6 q^{9} - 5 q^{11} - 3 q^{15} + 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display