Properties

Label 83300.bd
Number of curves $1$
Conductor $83300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 83300.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83300.bd1 83300b1 \([0, 1, 0, 14292, -684412]\) \(14000/17\) \(-392006468000000\) \([]\) \(290304\) \(1.4863\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83300.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 83300.bd do not have complex multiplication.

Modular form 83300.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} - 5 q^{11} + 5 q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display