Properties

Label 26775.u
Number of curves 1
Conductor 26775
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("26775.u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 26775.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
26775.u1 26775bb1 [0, 0, 1, -1070966550, -13492196207469] [] 8064000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775.u1 has rank \(1\).

Modular form 26775.2.a.u

sage: E.q_eigenform(10)
 
\( q - 2q^{4} - q^{7} - 2q^{11} + 5q^{13} + 4q^{16} + q^{17} + 2q^{19} + O(q^{20}) \)