Properties

Label 27448.b
Number of curves 1
Conductor 27448
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("27448.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 27448.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
27448.b1 27448a1 [0, -1, 0, -12, -44] [] 2816 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448.b1 has rank \(1\).

Modular form 27448.2.a.b

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