Properties

Label 211600i
Number of curves $1$
Conductor $211600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 211600i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.r1 211600i1 \([0, 1, 0, -3879333, 2950330963]\) \(-5451776/23\) \(-27238603576000000000\) \([]\) \(5913600\) \(2.5839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600i1 has rank \(0\).

Complex multiplication

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

Modular form 211600.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} + 2 q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display