Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("27448.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 27448.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
27448.d1 27448b1 [0, 0, 0, -61447, 5867642] [] 147200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448.d1 has rank \(1\).

Modular form 27448.2.a.d

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