Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 98736.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.y1 98736e1 \([0, -1, 0, -223916953, -1361478841259]\) \(-2737717077365028736000/181536283769982867\) \(-82330265705429662168419072\) \([]\) \(25804800\) \(3.7249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736.y1 has rank \(0\).

Complex multiplication

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

Modular form 98736.2.a.y

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