Properties

Label 82800.e
Number of curves $1$
Conductor $82800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 82800.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.e1 82800ex1 \([0, 0, 0, -119595, 9073690]\) \(2534167381585/990074583\) \(73908671591116800\) \([]\) \(983040\) \(1.9355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 82800.e do not have complex multiplication.

Modular form 82800.2.a.e

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 5 q^{11} - q^{13} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display