Properties

Label 25751a
Number of curves 1
Conductor 25751
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("25751.a1")
sage: E.isogeny_class()

Elliptic curves in class 25751a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
25751.a1 25751a1 [1, 0, 0, -39, 94] 1 3456 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 25751a1 has rank \(3\).

Modular form None

sage: E.q_eigenform(10)
\( q - q^{2} - 2q^{3} - q^{4} - 2q^{5} + 2q^{6} - 3q^{7} + 3q^{8} + q^{9} + 2q^{10} - q^{11} + 2q^{12} - 5q^{13} + 3q^{14} + 4q^{15} - q^{16} - 6q^{17} - q^{18} - 8q^{19} + O(q^{20}) \)