Properties

Label 3600.i
Number of curves $1$
Conductor $3600$
CM no
Rank $1$

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

Elliptic curves in class 3600.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3600.i1 3600w1 \([0, 0, 0, 1500, -2500]\) \(5120/3\) \(-218700000000\) \([]\) \(3840\) \(0.86532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3600.i1 has rank \(1\).

Complex multiplication

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

Modular form 3600.2.a.i

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