Show commands for:
SageMath

sage: E = EllipticCurve("cg1")

sage: E.isogeny_class()

## Elliptic curves in class 93600cg

sage: E.isogeny_class().curves

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

93600.es1 | 93600cg1 | \([0, 0, 0, 70125, -57726250]\) | \(261568120/10024911\) | \(-1461632023800000000\) | \([]\) | \(1036800\) | \(2.1654\) | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 93600cg1 has rank \(1\).

## Complex multiplication

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

sage: E.q_eigenform(10)