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SageMath

sage: E = EllipticCurve("c1")

sage: E.isogeny_class()

## Elliptic curves in class 93600.c

sage: E.isogeny_class().curves

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

93600.c1 | 93600ds1 | \([0, 0, 0, -1260, -17280]\) | \(-2963520/13\) | \(-970444800\) | \([]\) | \(61440\) | \(0.57741\) | \(\Gamma_0(N)\)-optimal |

## Rank

sage: E.rank()

The elliptic curve 93600.c1 has rank \(1\).

## Complex multiplication

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

sage: E.q_eigenform(10)