Properties

Label 36100f
Number of curves $1$
Conductor $36100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 36100f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36100.d1 36100f1 \([0, -1, 0, -158, -563]\) \(4864\) \(90250000\) \([]\) \(7560\) \(0.24187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36100f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36100f do not have complex multiplication.

Modular form 36100.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 4 q^{11} - q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display