Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 98736.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.b1 98736cd1 \([0, -1, 0, -150, -9]\) \(194081536/111537\) \(215935632\) \([]\) \(55296\) \(0.28883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736.b1 has rank \(1\).

Complex multiplication

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

Modular form 98736.2.a.b

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