Properties

Label 1200.j
Number of curves $1$
Conductor $1200$
CM no
Rank $0$

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

Elliptic curves in class 1200.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1200.j1 1200h1 \([0, 1, 0, -5833, -207037]\) \(-8780800/2187\) \(-5467500000000\) \([]\) \(3360\) \(1.1621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1200.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1200.j do not have complex multiplication.

Modular form 1200.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5q^{7} + q^{9} + 6q^{11} + 3q^{13} + 2q^{17} - q^{19} + O(q^{20})\)  Toggle raw display