Properties

Label 98736j
Number of curves $1$
Conductor $98736$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 98736j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.i1 98736j1 \([0, -1, 0, -1234724, -13086885]\) \(501633924352/290107737\) \(120394360873667806992\) \([]\) \(2534400\) \(2.5426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 98736j do not have complex multiplication.

Modular form 98736.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 2 q^{7} + q^{9} + 3 q^{13} + 2 q^{15} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display