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SageMath

sage: E = EllipticCurve("bc1")

sage: E.isogeny_class()

## Elliptic curves in class 93600bc

sage: E.isogeny_class().curves

LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|

93600.v1 | 93600bc1 | \([0, 0, 0, -75, 13250]\) | \(-8/13\) | \(-75816000000\) | \([]\) | \(67200\) | \(0.76661\) | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 93600bc1 has rank \(0\).

## Complex multiplication

The elliptic curves in class 93600bc do not have complex multiplication.## Modular form 93600.2.a.bc

sage: E.q_eigenform(10)