Properties

Label 49098.l
Number of curves $1$
Conductor $49098$
CM no
Rank $1$

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

Elliptic curves in class 49098.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49098.l1 49098q1 \([1, 0, 1, 27610, -559240]\) \(19785968032823/12608077824\) \(-1483327747915776\) \([]\) \(364320\) \(1.6001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49098.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 49098.l do not have complex multiplication.

Modular form 49098.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} - q^{8} + q^{9} + 3 q^{10} + 6 q^{11} + q^{12} - 2 q^{13} - 3 q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display