Properties

Label 1003c
Number of curves 1
Conductor 1003
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("1003.a1")
sage: E.isogeny_class()

Elliptic curves in class 1003c

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
1003.a1 1003c1 [1, -1, 1, 63, -332] 1 384 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 1003c1 has rank \(0\).

Modular form 1003.2.a.a

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