Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 82764.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82764.l1 82764m1 \([0, 0, 0, -23232, -1368268]\) \(-4194304/19\) \(-6281700201216\) \([]\) \(171360\) \(1.3073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82764.l1 has rank \(1\).

Complex multiplication

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

Modular form 82764.2.a.l

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