Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1200.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1200.i1 1200d1 \([0, -1, 0, -233, -1563]\) \(-8780800/2187\) \(-349920000\) \([]\) \(672\) \(0.35738\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1200.i1 has rank \(0\).

Complex multiplication

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

Modular form 1200.2.a.i

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