Properties

Label 6498.l
Number of curves $1$
Conductor $6498$
CM no
Rank $0$

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

Elliptic curves in class 6498.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6498.l1 6498h1 \([1, -1, 0, 284220, 74924608]\) \(205083359/314928\) \(-3899129065663138992\) \([]\) \(196992\) \(2.2526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6498.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6498.l do not have complex multiplication.

Modular form 6498.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 4 q^{5} - 3 q^{7} - q^{8} - 4 q^{10} - 2 q^{11} - 7 q^{13} + 3 q^{14} + q^{16} + O(q^{20})\) Copy content Toggle raw display