Properties

Label 100010d
Number of curves 1
Conductor 100010
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("100010.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100010d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100010.d1 100010d1 [1, 1, 0, 3, -169] [] 27136 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100010d1 has rank \(1\).

Modular form 100010.2.a.d

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