Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 98736l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.c1 98736l1 \([0, -1, 0, -2097, 76221]\) \(-2249728/4131\) \(-1873489533696\) \([]\) \(228800\) \(1.0449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736l1 has rank \(0\).

Complex multiplication

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

Modular form 98736.2.a.l

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