Properties

Label 82764.m
Number of curves $1$
Conductor $82764$
CM no
Rank $1$

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

Elliptic curves in class 82764.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82764.m1 82764a1 \([0, 0, 0, 26136, 1293732]\) \(221184/209\) \(-1865664959761152\) \([]\) \(380160\) \(1.6174\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82764.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 82764.m do not have complex multiplication.

Modular form 82764.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 4 q^{7} - q^{13} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display