Properties

Label 6800.g
Number of curves $1$
Conductor $6800$
CM no
Rank $0$

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

Elliptic curves in class 6800.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6800.g1 6800x1 \([0, -1, 0, -7208, -307088]\) \(-5177717/2176\) \(-17408000000000\) \([]\) \(13440\) \(1.2486\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6800.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6800.g do not have complex multiplication.

Modular form 6800.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 6 q^{11} + 3 q^{13} + q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display