Properties

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

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 98736cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.a1 98736cw1 \([0, -1, 0, -18190, 84691]\) \(194081536/111537\) \(382543144161552\) \([]\) \(608256\) \(1.4878\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736cw1 has rank \(0\).

Complex multiplication

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

Modular form 98736.2.a.cw

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 4 q^{7} + q^{9} + q^{13} + 4 q^{15} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display