Properties

Label 26284.a
Number of curves 1
Conductor 26284
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("26284.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 26284.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
26284.a1 26284a1 [0, 1, 0, -9, 16] [] 5256 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26284.a1 has rank \(3\).

Modular form 26284.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{3} - 2q^{5} - 5q^{7} + q^{9} - 6q^{11} - 6q^{13} + 4q^{15} - 3q^{17} - 8q^{19} + O(q^{20}) \)