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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 353600cb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 353600.cb1 | 353600cb1 | \([0, -1, 0, -5733, 48637]\) | \(2035379200/1085773\) | \(11118315520000\) | \([]\) | \(491520\) | \(1.1946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 353600cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 353600cb do not have complex multiplication.Modular form 353600.2.a.cb
sage: E.q_eigenform(10)