Properties

Label 84700.a
Number of curves $1$
Conductor $84700$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 84700.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
84700.a1 84700k1 [0, 0, 0, 96800, -35271500] [] 1713600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84700.a1 has rank \(1\).

Complex multiplication

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

Modular form 84700.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - q^{7} + 6q^{9} - 3q^{13} - q^{17} - 6q^{19} + O(q^{20}) \)