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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 193200cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 193200.dz1 | 193200cc1 | \([0, 1, 0, 3638392, -1791379212]\) | \(83228502970940543/69854999176704\) | \(-4470719947309056000000\) | \([]\) | \(10264320\) | \(2.8420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193200cc do not have complex multiplication.Modular form 193200.2.a.cc
sage: E.q_eigenform(10)