Properties

Label 51870.a
Number of curves 1
Conductor 51870
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("51870.a1")
sage: E.isogeny_class()

Elliptic curves in class 51870.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
51870.a1 51870d1 [1, 1, 0, -259143312263, -52067329167215883] 1 811399680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 51870.a1 has rank \(0\).

Modular form None

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