Properties

Label 14400.fk
Number of curves $1$
Conductor $14400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fk1")
 
E.isogeny_class()
 

Elliptic curves in class 14400.fk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.fk1 14400fk1 \([0, 0, 0, -8400, 354400]\) \(-8780800/2187\) \(-16325867520000\) \([]\) \(43008\) \(1.2533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.fk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14400.fk do not have complex multiplication.

Modular form 14400.2.a.fk

sage: E.q_eigenform(10)
 
\(q + 5 q^{7} + 6 q^{11} + 3 q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display