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SageMath

sage: E = EllipticCurve("t1")

sage: E.isogeny_class()

## Elliptic curves in class 15680t

sage: E.isogeny_class().curves

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

15680.o1 | 15680t1 | [0, 1, 0, -961, -13665] | [] | 11520 | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 15680t1 has rank \(0\).

## Complex multiplication

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

sage: E.q_eigenform(10)