Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 27200.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.s1 27200h1 \([0, -1, 0, -33, -20063]\) \(-2/85\) \(-174080000000\) \([]\) \(18432\) \(0.83579\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.s1 has rank \(1\).

Complex multiplication

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

Modular form 27200.2.a.s

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