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SageMath
E = EllipticCurve("om1")
E.isogeny_class()
Elliptic curves in class 187200.om
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.om1 | 187200kf1 | \([0, 0, 0, -44175, 3580900]\) | \(-326938350400/767637\) | \(-22384294920000\) | \([]\) | \(737280\) | \(1.4419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.om1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.om do not have complex multiplication.Modular form 187200.2.a.om
sage: E.q_eigenform(10)