Show commands for:
SageMath

sage: E = EllipticCurve("dt1")

sage: E.isogeny_class()

## Elliptic curves in class 388416dt

sage: E.isogeny_class().curves

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

388416.dt1 | 388416dt1 | \([0, -1, 0, 116031, 6462657]\) | \(2280364702703/1560674304\) | \(-118236085972107264\) | \([]\) | \(4700160\) | \(1.9646\) | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 388416dt1 has rank \(1\).

## Complex multiplication

The elliptic curves in class 388416dt do not have complex multiplication.## Modular form 388416.2.a.dt

sage: E.q_eigenform(10)