Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 82800.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.bb1 82800ce1 \([0, 0, 0, 1500, 137500]\) \(1024/23\) \(-8383500000000\) \([]\) \(168960\) \(1.1600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800.bb1 has rank \(0\).

Complex multiplication

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

Modular form 82800.2.a.bb

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 6 q^{13} - 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display