Properties

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

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Show commands: SageMath
E = EllipticCurve("pp1")
 
E.isogeny_class()
 

Elliptic curves in class 369600pp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.pp1 369600pp1 \([0, 1, 0, -199493, 34229283]\) \(2143625552081920/693\) \(283852800\) \([]\) \(1118208\) \(1.4202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600pp1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.pp

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