Properties

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

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 98736cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.p1 98736cn1 \([0, -1, 0, -521429, 146519133]\) \(-2160697802752/24640803\) \(-178801400231866368\) \([]\) \(1382400\) \(2.1243\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736cn1 has rank \(0\).

Complex multiplication

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

Modular form 98736.2.a.cn

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{7} + q^{9} + 6 q^{13} + 2 q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display