Properties

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

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 8400.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8400.cb1 8400cn1 \([0, 1, 0, -2518208, 1538337588]\) \(-1103770289367265/891813888\) \(-1426902220800000000\) \([]\) \(273600\) \(2.4131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8400.cb1 has rank \(0\).

Complex multiplication

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

Modular form 8400.2.a.cb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} + 2 q^{11} + 7 q^{13} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display