Properties

Label 84700bd
Number of curves $1$
Conductor $84700$
CM no
Rank $0$

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

Elliptic curves in class 84700bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84700.bj1 84700bd1 \([0, 0, 0, -121000, -16637500]\) \(-221184/7\) \(-6200463500000000\) \([]\) \(972000\) \(1.8065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84700bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84700bd do not have complex multiplication.

Modular form 84700.2.a.bd

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{7} + 6 q^{9} - q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display