Properties

Label 82800br
Number of curves $1$
Conductor $82800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 82800br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.h1 82800br1 \([0, 0, 0, -975, 12125]\) \(-562432/23\) \(-4191750000\) \([]\) \(61440\) \(0.61391\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800br1 has rank \(1\).

Complex multiplication

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

Modular form 82800.2.a.br

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 2 q^{11} - 7 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display