Properties

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

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 211600.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.cd1 211600be1 \([0, 0, 0, -7604375, -8045428750]\) \(270000\) \(180115266146300000000\) \([]\) \(8743680\) \(2.7467\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.cd1 has rank \(0\).

Complex multiplication

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

Modular form 211600.2.a.cd

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