Properties

 Label 1006c Number of curves 1 Conductor 1006 CM no Rank 1

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("1006.e1")

sage: E.isogeny_class()

Elliptic curves in class 1006c

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1006.e1 1006c1 [1, 0, 0, 5, 1] [] 96 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 1006c1 has rank $$1$$.

Modular form1006.2.a.e

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} - 4q^{5} + q^{6} + q^{7} + q^{8} - 2q^{9} - 4q^{10} - 3q^{11} + q^{12} - 3q^{13} + q^{14} - 4q^{15} + q^{16} - 4q^{17} - 2q^{18} + O(q^{20})$$