Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("de1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 369600.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.de1 369600de1 \([0, -1, 0, -44133, 4112637]\) \(-37135043584/6847995\) \(-1753086720000000\) \([]\) \(2211840\) \(1.6497\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.de1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.de

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} + 6 q^{13} + 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display