Properties

Label 27225k
Number of curves $1$
Conductor $27225$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 27225k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27225.j1 27225k1 \([1, -1, 1, -1066880, -423885338]\) \(-1273201875\) \(-105480646368075\) \([]\) \(209088\) \(1.9975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27225k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27225k do not have complex multiplication.

Modular form 27225.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - 5 q^{13} - q^{16} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display