Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 27200.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.r1 27200bx1 \([0, -1, 0, 86847, 1570657]\) \(11053587253415/6565418768\) \(-43027128437964800\) \([]\) \(258048\) \(1.8811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.r1 has rank \(0\).

Complex multiplication

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

Modular form 27200.2.a.r

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