Properties

Label 369600.ee
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 369600.ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.ee1 369600ee1 \([0, -1, 0, -33, 8187]\) \(-4096/28875\) \(-28875000000\) \([]\) \(276480\) \(0.68611\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.ee1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600.ee do not have complex multiplication.

Modular form 369600.2.a.ee

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