Properties

Label 27448.c
Number of curves 1
Conductor 27448
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("27448.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 27448.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
27448.c1 27448c1 [0, 1, 0, -20, -64] [] 3456 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448.c1 has rank \(0\).

Modular form 27448.2.a.c

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