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SageMath

sage: E = EllipticCurve("bg1")

sage: E.isogeny_class()

## Elliptic curves in class 15680.bg

sage: E.isogeny_class().curves

LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
---|---|---|---|---|---|

15680.bg1 | 15680p1 | [0, -1, 0, 159, 4705] | [] | 7680 | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 15680.bg1 has rank \(0\).

## Complex multiplication

The elliptic curves in class 15680.bg do not have complex multiplication.## Modular form 15680.2.a.bg

sage: E.q_eigenform(10)