Properties

Label 3600x
Number of curves $1$
Conductor $3600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 3600x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3600.bq1 3600x1 \([0, 0, 0, -2100, 44300]\) \(-8780800/2187\) \(-255091680000\) \([]\) \(5376\) \(0.90668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3600x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3600x do not have complex multiplication.

Modular form 3600.2.a.x

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