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SageMath
E = EllipticCurve("oc1")
E.isogeny_class()
Elliptic curves in class 187200.oc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.oc1 | 187200ox1 | \([0, 0, 0, 6750, 168750]\) | \(13824/13\) | \(-31984875000000\) | \([]\) | \(399360\) | \(1.2785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.oc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.oc do not have complex multiplication.Modular form 187200.2.a.oc
sage: E.q_eigenform(10)