Properties

Label 27448d
Number of curves 1
Conductor 27448
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("27448.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 27448d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
27448.a1 27448d1 [0, 0, 0, -79, 274] [] 14080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448d1 has rank \(3\).

Modular form 27448.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - 3q^{5} - 4q^{7} + 6q^{9} - 4q^{11} - 5q^{13} + 9q^{15} - 6q^{17} - 2q^{19} + O(q^{20}) \)