Properties

Label 100005.d
Number of curves 1
Conductor 100005
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("100005.d1")
sage: E.isogeny_class()

Elliptic curves in class 100005.d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100005.d1 100005c1 [0, 1, 1, -249500, 47855441] 1 1539840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100005.d1 has rank \(0\).

Modular form None

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