Properties

Label 211600.p
Number of curves $1$
Conductor $211600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 211600.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.p1 211600cw1 \([0, 1, 0, -1168208, 482347588]\) \(2977540/23\) \(1361930178800000000\) \([]\) \(4055040\) \(2.3086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 211600.p do not have complex multiplication.

Modular form 211600.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{7} + q^{9} - 5 q^{11} - q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display