# Properties

 Label 10008.b Number of curves 1 Conductor 10008 CM no Rank 1

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("10008.b1")
sage: E.isogeny_class()

## Elliptic curves in class 10008.b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.b1 10008g1 [0, 0, 0, 6, 61] 1 1344 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 10008.b1 has rank $$1$$.

## Modular form None

sage: E.q_eigenform(10)
$$q - 3q^{5} + q^{7} + 5q^{11} - 3q^{13} - 2q^{17} - 6q^{19} + O(q^{20})$$