Properties

Label 436800.j
Number of curves $1$
Conductor $436800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 436800.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436800.j1 436800j1 \([0, -1, 0, 14167, 609537]\) \(786080000/862407\) \(-344962800000000\) \([]\) \(1382400\) \(1.4761\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 436800.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 436800.j do not have complex multiplication.

Modular form 436800.2.a.j

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