Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 84700.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84700.d1 84700bl1 \([0, 0, 0, -4840, -133100]\) \(-221184/7\) \(-396829664000\) \([]\) \(194400\) \(1.0018\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84700.d1 has rank \(1\).

Complex multiplication

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

Modular form 84700.2.a.d

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