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SageMath
E = EllipticCurve("jo1")
E.isogeny_class()
Elliptic curves in class 479808jo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 479808.jo1 | 479808jo1 | \([0, 0, 0, 420, 3472]\) | \(14000/17\) | \(-9949298688\) | \([]\) | \(276480\) | \(0.60455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808jo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 479808jo do not have complex multiplication.Modular form 479808.2.a.jo
sage: E.q_eigenform(10)