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SageMath

sage: E = EllipticCurve("s1")

sage: E.isogeny_class()

## Elliptic curves in class 212940.s

sage: E.isogeny_class().curves

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

212940.s1 | 212940w1 | [0, 0, 0, 48672, -12575628] | [] | 1884960 | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 212940.s1 has rank \(0\).

## Complex multiplication

The elliptic curves in class 212940.s do not have complex multiplication.## Modular form 212940.2.a.s

sage: E.q_eigenform(10)