Properties

Label 10005n
Number of curves 1
Conductor 10005
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("10005.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10005n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10005.j1 10005n1 [0, 1, 1, -1305, 12506] [] 6720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10005n1 has rank \(0\).

Modular form 10005.2.a.j

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