Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 6498.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6498.g1 6498i1 \([1, -1, 0, -3543102, 2690316180]\) \(-1100553625/62208\) \(-278041598558892479232\) \([]\) \(218880\) \(2.6800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6498.g1 has rank \(1\).

Complex multiplication

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

Modular form 6498.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} + 2 q^{11} + 3 q^{13} - q^{14} + q^{16} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display