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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 138600.eq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 138600.eq1 | 138600eu1 | \([0, 0, 0, -333975, 74293875]\) | \(-610325920583424/55240493\) | \(-372873327750000\) | \([]\) | \(829440\) | \(1.8355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600.eq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600.eq do not have complex multiplication.Modular form 138600.2.a.eq
sage: E.q_eigenform(10)