Properties

Label 27200.u
Number of curves $1$
Conductor $27200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 27200.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.u1 27200cw1 \([0, -1, 0, -4833, -142463]\) \(-121945/17\) \(-1740800000000\) \([]\) \(30720\) \(1.0802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27200.u do not have complex multiplication.

Modular form 27200.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} - 4 q^{11} + q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display