Properties

Label 8400.cg
Number of curves $1$
Conductor $8400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 8400.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8400.cg1 8400x1 \([0, 1, 0, -7708, 257963]\) \(-324179200/63\) \(-9843750000\) \([]\) \(13440\) \(0.91746\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8400.cg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8400.cg do not have complex multiplication.

Modular form 8400.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} + 5 q^{11} - 4 q^{13} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display