Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 27200.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.y1 27200cv1 \([0, -1, 0, -2708, 55162]\) \(-87880000/17\) \(-425000000\) \([]\) \(19200\) \(0.65582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.y1 has rank \(0\).

Complex multiplication

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

Modular form 27200.2.a.y

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