Properties

Label 25886.a
Number of curves 1
Conductor 25886
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("25886.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 25886.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
25886.a1 25886d1 [1, -1, 1, -2196, 102417] [] 88704 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25886.a1 has rank \(0\).

Modular form 25886.2.a.a

sage: E.q_eigenform(10)
 
\( q + q^{2} - 3q^{3} + q^{4} - 2q^{5} - 3q^{6} + q^{7} + q^{8} + 6q^{9} - 2q^{10} - 3q^{11} - 3q^{12} + 2q^{13} + q^{14} + 6q^{15} + q^{16} + 6q^{18} - q^{19} + O(q^{20}) \)